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Bardaro, Carlo; Pucci, Patrizia; Sambucini, Anna Rita; Vinti, Gianluca

Life and work of Domenico Candeloro: an appreciation. (English) Zbl 1455.01020

Boll. Unione Mat. Ital. 13, No. 4, 451-458 (2020).

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Candeloro, Domenico
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[1] Candeloro, D., L’area di Geöcze, per prodotti di applicazioni, come integrale alla Burkill-Cesari, (Italian) Istit, Lombardo Accad. Sci. Lett. Rend. A, 110, 2, 493-513 (1976) · Zbl 0372.28009
[2] Candeloro, D., The Burkill-Cesari integral and its relation to absolute continuity, (Italian), Rend. Circ. Mat. Palermo, 26, 1-3, 251-274 (1977) · Zbl 0403.49012
[3] Candeloro, D., Pucci, P.: Some considerations regarding the Riemann-Stieltjes integral and the Weierstrass integral (Italian). Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 63(3-4), 187-191 (1977) · Zbl 0492.26007
[4] Candeloro, D.; Pucci, P., Some bounds for the Riemann-Stieltjes integral and the Weierstrass integral (Italian), Atti Sem. Mat. Fis. Univ. Modena, 26, 2, 256-279 (1977) · Zbl 0492.26006
[5] Candeloro, D.; Pucci, P., A lower closure theorem with respect to a sequence of measures for optimal control problems (Italian), Atti Sem. Mat. Fis. Univ. Modena, 26, 2, 280-292 (1977) · Zbl 0411.49011
[6] Bardaro, C.; Candeloro, D., The approximation of the Burkill-Cesari integral for sublinear functionals on measures, and applications to the multiple integral of the calculus of variations (Italian), Atti Sem. Mat. Fis. Univ. Modena, 26, 2, 339-362 (1977) · Zbl 0407.49023
[7] Candeloro, D., Pucci, P.: A criterion for weak compactness in the sense of Dunford and Pettis (Italian). Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. 64(2), 124-129 (1978) · Zbl 0422.46006
[8] Candeloro, D.; Sacchetti Martellotti, A., Some problems concerning subadditive scalar measures and applications to the case of finite additivity (Italian), Atti Sem. Mat. Fis. Univ. Modena, 27, 2, 284-296 (1978) · Zbl 0427.28003
[9] Candeloro, D.; Martellotti Sacchetti, A., On the range of a vector measure (Italian), Atti Sem. Mat. Fis. Univ. Modena, 28, 1, 102-111 (1979) · Zbl 0438.28008
[10] Candeloro, D.; Martellotti, A., Continuous finitely additive measures which are extensions of nonatomic measures, Atti Sem. Mat. Fis. Univ. Modena, 29, 2, 328-344 (1980) · Zbl 0484.28002
[11] Candeloro, D., Pucci, P.: The Burkill-Cesari integral over a rectangle and applications to the Fubini-Tonelli integral with respect to pairs of continuous curves (Italian). Boll. Un. Mat. Ital. B (5) 17(3), 835-859 (1980) · Zbl 0457.49030
[12] Bardaro, C.; Candeloro, D., Approximation theorems for the multiple integral of the calculus of variations (Italian), Rend. Circ. Mat. Palermo, 30, 1, 63-82 (1981) · Zbl 0522.49029
[13] Candeloro, D., Pucci, P.: The Burkill-Cesari integral as integral of the calculus of variations (Italian). Boll. Un. Mat. Ital. B (5) 18(1), 1-24 (1981) · Zbl 0461.49027
[14] Candeloro, D.: Uniform exhaustivity and absolute continuity (Italian). Boll. Un. Mat. Ital. B (6) 4(3), 709-724 (1985) · Zbl 0591.28005
[15] Candeloro, D.: The Vitali-Hahn-Saks, Dieudonné and Nikodým theorems (Italian). In: Proceedings of the Conference Commemorating the 1st Centennial of the Circolo Matematico di Palermo (Italian) (Palermo, 1984), Rend. Circ. Mat. Palermo (2) Suppl. No. 8, pp. 439-445 (1985) · Zbl 0624.28005
[16] Candeloro, D., Some theorems on uniform boundedness (Italian), Rend. Accad. Naz. Sci. XL Mem. Mat., 9, 1, 249-260 (1985) · Zbl 0587.28006
[17] Candeloro, D.; Letta, G., On the Vitali-Hahn-Saks and Dieudonné theorems (Italian), Rend. Accad. Naz. Sci. XL Mem. Mat., 9, 1, 203-213 (1985) · Zbl 0584.28003
[18] Candeloro, D., Transformation-invariant measures in higher dimensions (Italian), Atti Sem. Mat. Fis. Univ. Modena, 35, 1, 33-42 (1987) · Zbl 0656.28008
[19] Candeloro, D.; Martellotti, A., An overview of some recent results concerning finitely additive measures (Italian), Atti Sem. Mat. Fis. Univ. Modena, 35, 2, 327-334 (1987) · Zbl 0645.28006
[20] Candeloro, D.; Pucci, S., Radon-Nikodým derivatives and conditioning in fuzzy measure theory, Stochastica, 11, 2-3, 107-120 (1987) · Zbl 0669.28010
[21] Boccuto, A.; Candeloro, D., On the existence of continuous invariant means with respect to amenable semigroups, Rend. Mat. Appl., 10, 2, 303-319 (1990) · Zbl 0722.28008
[22] Boccuto, A.; Candeloro, D., A sandwich-type theorem for invariant measures, Atti Sem. Mat. Fis. Univ. Modena, 38, 2, 415-424 (1990) · Zbl 0735.46001
[23] Boccuto, A.; Candeloro, D., Sandwich theorems and applications to invariant measures, Atti Sem. Mat. Fis. Univ. Modena, 38, 2, 511-524 (1990) · Zbl 0735.46002
[24] Candeloro, D.; Martellotti, A., Geometric properties of the range of two-dimensional quasi-measures with respect to the Radon-Nikodým property, Adv. Math., 93, 1, 9-24 (1992) · Zbl 0771.28002
[25] Candeloro, D.; Martellotti, A., Radon-Nikodým theorems for vector-valued finitely additive measures. Rend. Mat. Appl. 12(4), 1071-1086 (1993) (1992) · Zbl 0769.28008
[26] Bhaskara Rao, KPS; Candeloro, D.; Martellotti, A., \( \mathbb{R}^n\)-valued finitely additive measures admitting countably additive restrictions preserving the range, J. Math. Anal. Appl., 177, 1, 166-169 (1993) · Zbl 0786.28005
[27] Boccuto, A.; Candeloro, D., Invariant means with special properties, Atti Sem. Mat. Fis. Univ. Modena, 41, 1, 167-180 (1993) · Zbl 0791.43002
[28] Boccuto, A.; Candeloro, D., Extensions and uniqueness theorems for invariant measures, Atti Sem. Mat. Fis. Univ. Modena, 41, 1, 181-194 (1993) · Zbl 0786.28006
[29] Boccuto, A.; Candeloro, D., Sandwich theorems, extension principles and amenability, Atti Sem. Mat. Fis. Univ. Modena, 42, 1, 257-271 (1994) · Zbl 0878.46002
[30] Candeloro, D., Multidimensional variations and countably additive restrictions, Atti Sem. Mat. Fis. Univ. Modena, 43, 1, 245-251 (1995) · Zbl 0838.28003
[31] Candeloro, D.; Martellotti, A., Stochastic processes and applications to countably additive restrictions of group-valued finitely additive measures, Collect. Math., 47, 1, 23-33 (1996) · Zbl 0848.60002
[32] Candeloro, D.: Riemann-Stieltjes integration in Riesz spaces. Rend. Mat. Appl. (7) 16(4), 563-585 (1996) · Zbl 0871.28011
[33] Brooks, JK; Candeloro, D.; Martellotti, A., On finitely additive measures in nuclear spaces, Atti Sem. Mat. Fis. Univ. Modena, 46, 1, 37-50 (1998) · Zbl 0908.28008
[34] Bardaro, C., Candeloro, D., Pucci, P.: Proceedings of the International Congress Conferenze in Onore di Calogero Vinti. Atti Sem. Mat. Fis. Univ. Modena, Supplemento al, vol. 46, pp. 989+xxxiv (1998)
[35] Candeloro, D.: Some remarks on the first digit problem, Dedicated to Prof. C. Vinti (Italian) (Perugia, 1996). Atti Sem. Mat. Fis. Univ. Modena 46(suppl.), 511-532 (1998) · Zbl 0912.60001
[36] Brooks, JK; Candeloro, D., Weak stochastic integration in Banach spaces, Atti Sem. Mat. Fis. Univ. Modena, 49, 2, 513-522 (2001) · Zbl 1009.60044
[37] Boccuto, A., Candeloro, D.: Dieudonné-type theorems for set functions with values in \((l)\)-groups. Real Anal. Exchange 27(2), 473-483 (2001/02) · Zbl 1067.28011
[38] Boccuto, A.; Candeloro, D., Uniform \(s\)-boundedness and convergence results for measures with values in complete \(l\)-groups, J. Math. Anal. Appl., 265, 1, 170-194 (2002) · Zbl 1006.28012
[39] Boccuto, A.; Candeloro, D., Vitali and Schur-type theorems for Riesz-space-valued set functions, Atti Sem. Mat. Fis. Univ. Modena, 50, 1, 85-103 (2002) · Zbl 1096.28006
[40] Candeloro, D., Convergence theorems for measures with values in Riesz spaces, Uncertainty modelling, 2001 (Bratislava), Kybernetika, 38, 3, 287-295 (2002) · Zbl 1265.46069
[41] Brooks, J.K., Candeloro, D.: Integration with respect to functions of unbounded variation. In: Functional analysis, VII (Dubrovnik, 2001), Various Publ. Ser. (Aarhus), vol. 46, pp. 63-81. Univ. Aarhus, Aarhus (2002) · Zbl 1037.26008
[42] Candeloro, D.: Volčič, A., Radon-Nikodým theorems. Handbook of measure theory, vols. I, II, pp. 249-294. North-Holland, Amsterdam (2002) · Zbl 1039.28003
[43] Brooks, JK; Candeloro, D., On the Caccioppoli integral, Atti Sem. Mat. Fis. Univ. Modena, 51, 2, 415-431 (2003) · Zbl 1221.26014
[44] Boccuto, A.; Candeloro, D., Convergence and decompositions for \(l\)-group-valued set functions, Comment. Math. (Prace Mat.), 44, 1, 11-37 (2004) · Zbl 1057.28005
[45] Boccuto, A.; Candeloro, D., Uniform boundedness theorems in Riesz spaces, Atti Sem. Mat. Fis. Univ. Modena Reggio Emilia, 52, 2, 369-382 (2004) · Zbl 1115.28011
[46] Boccuto, A., Candeloro, D.: Ito Formula in Riesz spaces. In: Proceedings of the Tenth Int. Conference IPMU, Perugia, July 2004, pp. 1807-1814 (2004)
[47] Boccuto, A., Candeloro, D.: Kondurar Theorem in Riesz spaces. In: Proceedings of the Tenth Int. Conference IPMU, Perugia, July 2004, pp. 1815-1822 (2004)
[48] Brooks, J.K., Candeloro, D.: The Rickart integral and Yosida-Hewitt decompositions. Tatra Mt. Math. Publ. 28(part II), 227-240 (2004) · Zbl 1111.28010
[49] Boccuto, A.; Candeloro, D., Several types of equations in Riesz spaces and applications, Acta Math., 8, 7-20 (2005)
[50] Boccuto, A.; Candeloro, D., A survey of decomposition and convergence theorems for \(l\)-group-valued measures, Atti Sem. Mat. Fis. Univ. Modena Reggio Emilia, 53, 2, 243-260 (2005) · Zbl 1121.28017
[51] Brooks, JK; Candeloro, D.; Martellotti, A., Stochastic processes in nuclear spaces: quasi-martingales and decompositions, Math. Slovaca, 55, 3, 271-282 (2005) · Zbl 1113.28009
[52] Boccuto, A.; Candeloro, D.; Kubińska, E., Kondurar theorem and Itô formula in Riesz spaces, J. Concr. Appl. Math., 4, 1, 67-90 (2006) · Zbl 1109.26006
[53] Brooks, JK; Candeloro, D., On the space of functions integrable with respect to functions of unbounded variation, Atti Sem. Mat. Fis. Univ. Modena Reggio Emilia, 54, 1-2, 115-123 (2006) · Zbl 1142.28010
[54] Boccuto, A.; Candeloro, D.; Sambucini, AR, Stieltjes-type integrals for metric semigroup-valued functions defined on unbounded intervals, PanAm. Math. J., 17, 4, 39-58 (2007) · Zbl 1132.28317
[55] Boccuto, A., Candeloro, D.: The contraction principle in Riesz spaces and applications to differential and stochastic equations. Atti Sem. Mat. Fis. Univ. Modena Reggio Emilia 55(1-2), 13-31 (2008) (2007) · Zbl 1195.28011
[56] Boccuto, A.; Candeloro, D., Integral and differential calculus in Riesz spaces and applications, J. Appl. Funct. Anal., 3, 1, 89-111 (2008) · Zbl 1171.28005
[57] Boccuto, A.; Candeloro, D., Sobczyk-Hammer decompositions and convergence theorems for measures with values in \(l\)-groups, Real Anal. Exchange, 33, 1, 91-105 (2008) · Zbl 1155.28006
[58] Boccuto, A.; Candeloro, D.; Riečan, B., Abstract generalized Kurzweil-Henstock-type integrals for Riesz space-valued functions, Real Anal. Exchange, 34, 1, 171-194 (2009) · Zbl 1179.28019
[59] Boccuto, A.; Candeloro, D., Integral and ideals in Riesz spaces, Inform. Sci., 179, 17, 2891-2902 (2009) · Zbl 1185.28016
[60] Boccuto, A., Candeloro, D.: Defining limits by means of integrals, vector measures, integration and related topics. In: Oper. Theory Adv. Appl., vol. 201, pp. 79-87. Birkhäuser Verlag, Basel (2010) · Zbl 1248.28018
[61] Boccuto, A.; Candeloro, D., Some new results about Brooks-Jewett and Dieudonné-type theorems in \((l)\)-groups, Kybernetika, 46, 6, 1049-1060 (2010) · Zbl 1210.28015
[62] Boccuto, A.; Candeloro, D., Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures, Cent. Eur. J. Math., 9, 2, 433-440 (2011) · Zbl 1217.28020
[63] Boccuto, A.; Candeloro, D., Differential calculus in Riesz spaces and applications to \(g\)-calculus, Mediterr. J. Math., 8, 3, 315-329 (2011) · Zbl 1252.28007
[64] Boccuto, A.; Candeloro, D.; Sambucini, AR, A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral, J. Funct. Spaces Appl., 9, 3, 283-304 (2011) · Zbl 1231.28011
[65] Boccuto, A., Candeloro, D., Sambucini, A.R.: Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. J. Math. Anal. Appl. 419(2), 818-838 (2014). Winner of the 2014 JMAA Ames Awards. https://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/news/winners-of-the-2014-jmaa-ames-awards-announced · Zbl 1349.46044
[66] Candeloro, D.; Sambucini, AR, Order-type Henstock and Mc Shane integrals in Banach lattices setting, Subotica, 2014, 55-59 (2014) · doi:10.1109/SISY.2014.6923557
[67] Boccuto, A.; Candeloro, D.; Sambucini, AR, Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 26, 4, 363-383 (2015) · Zbl 1329.28024
[68] Candeloro, D.; Sambucini, AR, Filter convergence and decompositions for vector lattice-valued measures, Mediterr. J. Math., 12, 3, 621-637 (2015) · Zbl 1320.28020
[69] Candeloro, D.; Sambucini, AR, Comparison between some norm and order gauge integrals in Banach lattices, PanAm. Math. J., 25, 3, 1-16 (2015) · Zbl 1337.28021
[70] Candeloro, D.; Croitoru, A.; Gavriluţ, A.; Sambucini, AR, An extension of the Birkhoff integrability for multifunctions, Mediterr. J. Math., 13, 5, 2551-2575 (2016) · Zbl 1353.28007
[71] Candeloro, D., Croitoru, A., Gavriluţ, A., Sambucini, A.R.: Atomicity related to non-additive integrability. Rend. Circ. Mat. Palermo Ser. 2 65(3), 435-449 (2016) · Zbl 1354.28009
[72] Candeloro, D., Di Piazza, L., Musiał, K., Sambucini, A.R.: Gauge integrals and selections of weakly compact valued multifunctions. J. Math. Anal. Appl. 441(1), 293-308 (2016) · Zbl 1339.28016
[73] Boccuto, A.; Candeloro, D.; Sambucini, AR, \(L^p\) spaces in vector lattices and applications, Math. Slovaca, 67, 6, 1409-1426 (2017) · Zbl 1505.28018
[74] Candeloro, D., Cardelli, E., Faba, A., Pompei, M., Quondam Antonio, S.: In-plane magnetic anisotropy detection of crystal grain orientation in goss-textured ferromagnets. IEEE Trans. Magn. 53(11), art. n. 7944683 (2017)
[75] Candeloro, D., Cardelli, E., Faba, A., Pompei, M., Quondam Antonio, S.: In-plane magnetic anisotropy detection for crystal grain orientation in Goss-textured ferromagnets. In: IEEE International Magnetics Conference, INTERMAG 2017, art. n. 8007944 (2017)
[76] Candeloro, D., Sambucini, A.R.: A Girsanov result through Birkhoff integral, Computational science and its applications-ICCSA 2018. Part I, Lecture Notes in Comput. Sci., vol. 10960, pp. 676-683. Springer, Cham (2018). 10.1007/978-3-319-95162-1_47
[77] Candeloro, D., Croitoru, A., Gavriluţ, A., Sambucini, A.R.: A multivalued version of the Radon-Nikodým theorem, via the single-valued Gould integral. Austral. J. Math. Anal. Appl. 15(2), Art. 9, 16 (2018) · Zbl 1396.28025
[78] Candeloro, D.; Di Piazza, L.; Musiał, K.; Sambucini, AR, Relations among gauge and Pettis integrals for cwk(X)-valued multifunctions, Ann. Mat. Pura Appl., 197, 1, 171-183 (2018) · Zbl 1400.28020
[79] Candeloro, D.; Labuschagne, CCA; Marraffa, V.; Sambucini, AR, Set-valued Brownian motion, Ric. Mat., 67, 2, 347-360 (2018) · Zbl 1402.60101
[80] Candeloro, D.; Di Piazza, L.; Musiał, K.; Sambucini, AR, Some new results on integration for multifunction, Ric. Mat., 67, 2, 361-372 (2018) · Zbl 1402.28010
[81] Candeloro, D.; Di Piazza, L.; Musiał, K.; Sambucini, AR, Multifunctions determined by integrable functions, Int. J. Approx. Reason., 112, 140-148 (2019) · Zbl 1471.26015
[82] Candeloro, D.; Mesiar, R.; Sambucini, AR, A special class of fuzzy measures: Choquet integral and applications, Fuzzy Sets Syst., 355, 83-99 (2019) · Zbl 1423.28042
[83] Candeloro, D.; Sambucini, AR; Trastulli, L., A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability, Mediterr. J. Math., 16, 144 (2019) · Zbl 1429.28020 · doi:10.1007/s00009-019-1431-x
[84] Candeloro, D.; Croitoru, A.; Gavriluţ, A.; Iosif, A.; Sambucini, AR, Properties of the Riemann-Lebesgue integrability in the non-additive case, Rend. Circ. Mat. Palermo, 69, 2, 577-589 (2020) · Zbl 1442.28011 · doi:10.1007/s12215-019-00419-y
[85] Candeloro, D., Di Piazza, L., Musiał, K., Sambucini, A.R.: Integration of multifunctions with closed convex values in arbitrary banach spaces. J. Convex Anal. 27(4) (2020) · Zbl 1461.28007
[86] Candeloro, D., Di Piazza, L., Musiał, K., Sambucini, A.R.: Multi-integrals of finite variation. Bull. Un. Mat. Ital. 13(4) (2020). 10.1007/s40574-020-00217-w · Zbl 1461.28007
[87] Candeloro, D.; Sambucini, A. R.; Trastulli, L.: A Girsanov result for the Pettis integral. Real Anal. Exchange 46(1) (2021). 10.14321/realanalexch.46.1.0001 · Zbl 1429.28020
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