A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces. (English) Zbl 07834587
Reviewer: Mohammed El Aïdi (Bogotá)
Found 286 Documents (Results 1–100)
The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices. (English) Zbl 07819540
On abstract results of operator representation of frames in Hilbert spaces. (English) Zbl 1515.42022
Reviewer: Virender Dalal (Delhi)
Generalized Riesz representation theorem in \(n\)-Hilbert space. (English) Zbl 1538.46024
MSC:
46C50
Regularized minimal-norm solution of an overdetermined system of first kind integral equations. (English) Zbl 07644398
Para-linearity as the nonassociative counterpart of linearity. (English) Zbl 1518.46050
Reviewer: Sergey Ludkovsky (Moskva)
Uniform logical new proofs for the Daniell-Stone theorem and the Riesz representation theorem. (English) Zbl 07595382
Riesz representation theorems for positive linear operators. (English) Zbl 1507.47087
Reviewer: Mohammed El Aïdi (Bogotá)
\(\phi (L)\)-factorable operators on \(L^p(G)\) for a locally compact abelian group. (English) Zbl 1497.43002
A Riesz representation theorem for functionals on log-concave functions. (English) Zbl 1492.26013
Reviewer: Daniele Puglisi (Catania)
Banach-Steinhaus theorem for the space \(\mathcal{P}\) of all primitives of Henstock-Kurzweil integrable functions. (English) Zbl 1486.46029
Reviewer: José Mendoza (Madrid)
A primer on Hilbert space theory. Linear spaces, topological spaces, metric spaces, normed spaces, and topological groups. 2nd edition. (English) Zbl 1457.46001
UNITEXT for Physics. Cham: Springer (ISBN 978-3-030-67416-8/hbk; 978-3-030-67419-9/pbk; 978-3-030-67417-5/ebook). xxii, 328 p. (2021).
Essentials of integration theory for analysis. 2nd revised edition. (English) Zbl 1451.26004
Graduate Texts in Mathematics 262. Cham: Springer (ISBN 978-3-030-58477-1/hbk; 978-3-030-58480-1/pbk; 978-3-030-58478-8/ebook). xvi, 285 p. (2020).
Functional analysis and summability. (English) Zbl 1448.46001
Boca Raton, FL: CRC Press (ISBN 978-0-367-54449-2/hbk; 978-1-003-08936-0/ebook). xix, 220 p. (2020).
A short proof of local regularity of distributional solutions of Poisson’s equation. (English) Zbl 1435.35117
A course in analysis. Vol. V: Functional analysis, some operator theory, theory of distributions. (English) Zbl 1456.46001
Hackensack, NJ: World Scientific (ISBN 978-981-12-1549-0/hbk; 978-981-12-1633-6/pbk). xxii, 831 p. (2020).
Reviewer: Sorin-Mihai Grad (Wien)
Elementary operator theory. (English) Zbl 1445.47001
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-060096-4/pbk; 978-3-11-060098-8/ebook). xv, 410 p. (2020).
Reviewer: Jaydeb Sarkar (Bangalore)
A note about representation of the dual space of space \(H_0^1 (\Omega)\) and \(W_0^{1,p} (\Omega)\). (Chinese. English summary) Zbl 1438.46043
Simple proofs of the uniform convexity of \(L^{p}\) and the Riesz representation theorem for \(L^{p}\). (English) Zbl 1404.46026
Reviewer: Dirk Werner (Berlin)
Radon vector measures on topological spaces. (English) Zbl 1401.46031
Reviewer: Hans Weber (Udine)
A generalization of inverse distance weighting and an equivalence relationship to noise-free Gaussian process interpolation via Riesz representation theorem. (English) Zbl 1391.65032
From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra. (English) Zbl 1528.06024
\(C^*\)-algebras and their automorphism groups. Edited by Søren Eilers and Dorte Olesen. 2nd edition. (English) Zbl 1460.46001
Elements of Hilbert spaces and operator theory. With contributions from Satish Shirali. (English) Zbl 1368.46002
Singapore: Springer (ISBN 978-981-10-3019-2/hbk; 978-981-10-3020-8/ebook). xiii, 522 p. (2017).
Reviewer: Mohammad Sal Moslehian (Mashhad)
Hilbert \(A\)-modules. (English) Zbl 1364.46044
Reviewer: Mohammad Sal Moslehian (Mashhad)
Choquet integration on Riesz spaces and dual comonotonicity. (English) Zbl 1331.28007
Reviewer: Pao-Sheng Hsu (Columbia Falls)
Spectral representation theory and stability of the multiplicative Dhombres functional equation in \(f\)-algebras. (English) Zbl 1320.39030
Reviewer: Jacek Chmieliński (Kraków)
Strict topologies and operators on spaces of vector-valued continuous functions. (English) Zbl 1321.46046
Reviewer: Enrique Alfonso Sánchez-Pérez (València)
A primer on Hilbert space theory. Linear spaces, topological spaces, metric spaces, normed spaces, and topological groups. (English) Zbl 1317.46001
Unitext for Physics. Cham: Springer (ISBN 978-3-319-03712-7/hbk; 978-3-319-03713-4/ebook). xvii, 255 p. (2015).
Reviewer: Mohammad Sal Moslehian (Karlstad)
The Riesz representation operator on the dual of \(C[0; 1]\) is computable. (English) Zbl 1412.03024
A primer of Hilbert space. (English) Zbl 1317.46002
LINCOM Textbooks in Mathematics 1. München: LINCOM Europa (ISBN 978-3-86288-427-8/pbk). 108 p. (2013).
Reviewer: Mohammad Sal Moslehian (Karlstad)
The research on the pre-history of the Riesz representation theorem. (Chinese. English summary) Zbl 1299.01005
A criterion for absolute continuity. (English) Zbl 1293.26013
Reviewer: Małgorzata Wróbel (Czȩstochowa)
A Riesz type representation for lower semi-continuous, monotone, local functionals on \(C_c(X)^+\). (English) Zbl 1290.28019
Reviewer: Surjit Singh Khurana (Iowa City)
Deficient topological measures and functionals generated by them. (English. Russian original) Zbl 1279.28018
Sb. Math. 204, No. 5, 726-761 (2013); translation from Mat. Sb. 204, No. 5, 109-142 (2013).
Reviewer: Surjit Singh Khurana (Iowa City)
BSDEs with general filtration driven by Lévy processes, and an application in stochastic controllability. (English) Zbl 1261.93086
The numerical solution of the system of the second-order partial differential equations via variational approach. (English) Zbl 1304.35022
Finitely additive measures in action. (English) Zbl 1280.28012
Pérez-Fernández, Francisco Javier (ed.) et al., Proceedings of the 4th international school “Advanced courses of mathematical analysis IV” in memory of Professor Antonio Aizpuru Tomás, Jerez de la Frontera, Spain, September 8–12, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4335-80-5; 978-981-4335-81-2/ebook). 58-115 (2012).
Reviewer: Zbigniew Lipecki (Wrocław)
Representation of Itô integrals by Lebesgue/Bochner integrals. (English) Zbl 1323.60076
J. Eur. Math. Soc. (JEMS) 14, No. 6, 1795-1823 (2012); erratum ibid. 20, No. 1, 259-260 (2018).
Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions. (English) Zbl 1265.46050
Riesz type integral representations for comonotonically additive functionals. (English) Zbl 1275.28019
Li, Shoumei (ed.) et al., Nonlinear mathematics for uncertainty and its applications. Proceedings of the international conference, NL-MUA2011, Beijing, China, September 7–9, 2011. Berlin: Springer (ISBN 978-3-642-22832-2/hbk; 978-3-642-22833-9/ebook). Advances in Intelligent and Soft Computing 100, 35-42 (2011).
MSC:
28E10
When is a Riesz distribution a complex measure? (English. French summary) Zbl 1263.43003
Reviewer: Aubrey Wulfsohn (Coventry)
Banach spaces which embed into their dual. (English) Zbl 1247.46021
Reviewer: Elói M. Galego (Sao Paulo)
Essentials of integration theory for analysis. (English) Zbl 1228.26001
Graduate Texts in Mathematics 262. Berlin: Springer (ISBN 978-1-4614-1134-5/hbk; 978-1-4614-1135-2/ebook). xi, 243 p. (2011).
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Representation of perfect and local MV-algebras. (English) Zbl 1265.06031
Reviewer: Antonio Di Nola (Salerno)
The elements of operator theory. 2nd ed. revised and updated ed. (English) Zbl 1231.47001
Boston, MA: Birkhäuser (ISBN 978-0-8176-4997-5/pbk; 978-0-8176-4998-2/ebook). xv, 539 p. (2011).
Reviewer: Michal Zajac (Bratislava)
Representation of MV-algebras by regular ultrapowers of \([0,1]\). (English) Zbl 1196.06005
Reviewer: Florentina Chirteş (Craiova)
Sure wins, separating probabilities and the representation of linear functionals. (English) Zbl 1171.91008
Reviewer: Klaus Schürger (Bonn)
Integrals and valuations. (English) Zbl 1245.03098
Operator-valued measures and integrals for cone-valued functions. (English) Zbl 1187.28002
Lecture Notes in Mathematics 1964. Berlin: Springer (ISBN 978-3-540-87564-2/pbk; 978-3-540-87565-9/ebook). x, 356 p. (2009).
Reviewer: Miguel A. Jiménez (Puebla)
MSC:
28-02
Computable Riesz representation for locally compact Hausdorff spaces. (English) Zbl 1262.03140
Dilhage, R. (ed.) et al., Proceedings of the fourth international conference on computability and complexity in analysis (CCA 2007), Siena, Italy, June 16–18, 2007. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 202, 3-12 (2008).
The Riesz representation theorem. (English) Zbl 1181.28018
Reviewer: Dirk Werner (Berlin)
Measure and probability. (English) Zbl 1180.60001
Hyderabad: Universities Press; Boca Raton, FL: CRC Press (ISBN 978-1-4398-0126-0/hbk; 978-1-138-11418-0/pbk). x, 221 p. (2008).
Reviewer: Ilya Pavlyukevich (Berlin)
An analogue of the Riesz-Haviland theorem for the truncated moment problem. (English) Zbl 1158.44003
Reviewer: Aris Daniilidis (Bellaterra)
A theorem of Riesz type with Pettis integrals in topological vector spaces. (English) Zbl 1152.46031
Reviewer: Hans F. Günzler (Kiel)
Computable Riesz representation for the dual of \(C[0;1]\). (English) Zbl 1262.03141
Cenzer, D. (ed.) et al., Proceedings of the 3rd international conference on computability and complexity in analysis (CCA 2006), Gainesville, FL, USA, November 1–5, 2006. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 167, 157-177 (2007).
Computable Riesz representation for the dual of \(C[0; 1]\). (English) Zbl 1128.03050
Reviewer: Zheng Xizhong (Cottbus)
Riesz-type representation for positive linear operators preserving continuity. (English) Zbl 1121.41021
Reviewer: Igor Andrianov (Köln)
Towards computability of elliptic boundary value problems in variational formulation. (English) Zbl 1126.03052
Reviewer: Ning Zhong (Cincinnati)
A note on the Lax-Milgram theorem in complete random inner product modules. (Chinese. English summary) Zbl 1100.46512
On the representation of \(\tau\)-continuous and Radon functionals with lower and upper Loeb integrals. (English) Zbl 1109.28013
Reviewer: Hermann Render (Logrono)
Introduction to probability and measure. 2nd revised ed. (English) Zbl 1075.28001
Texts and Readings in Mathematics 33. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-55-5/pbk; 978-93-86279-27-9/ebook). 338 p. (2005).
Reviewer: Ryszard Pawlak (Łódź)
Measure theory. Vol. 3. Measure algebras. Corrected second printing of the 2002 original. (English) Zbl 1165.28002
Colchester: Torres Fremlin (ISBN 0-9538129-3-6/pbk). 693 p., 13 p. (2004).
Reviewer: Ryszard Pawlak (Łódź)
On the geometry of proximinal subspaces of codimension \(n\) of \(C(\mathcal{Q})\). (English) Zbl 1230.46014
On the Riesz-Fischer theorem. (English) Zbl 1074.46014
A third-order nonlocal problem with nonlocal conditions. (English) Zbl 1072.35516
MSC:
35G15
35D05
Integral representation of linear functionals on vector lattices and its application to BV functions on Wiener space. (English) Zbl 1075.60059
Kunita, Hiroshi (ed.) et al., Stochastic analysis and related topics in Kyoto. In honour of Kiyoshi Itô. Lectures given at the conference, Kyoto, Japan, September 4–7, 2002. Tokyo: Mathematical Society of Japan (ISBN 4-931469-26-4/hbk). Advanced Studies in Pure Mathematics 41, 121-140 (2004).
Reviewer: Yoichi Oshima (Kumamoto)
Some examples of hyperarchimedean lattice-ordered groups. (English) Zbl 1058.06020
Reviewer: Jan Jakubík (Košice)
MSC:
06F20
Separable measures and strict topologies on spaces of non-Archimedean valued functions. (English) Zbl 1107.46052
Reviewer: Stefan Cobzaş (Cluj-Napoca)
An application of the canonical representation of functionals to functional equations. (English. Russian original) Zbl 1075.39022
Differ. Equ. 38, No. 12, 1801-1808 (2002); translation from Differ. Uravn. 38, No. 12, 1698-1704 (2002).
Reviewer: Khalil Ezzinbi (Marrakech)
The Riesz representation theorem on infinite dimensional spaces and its applications. (English) Zbl 1072.46028
Reviewer: Thomas Kühn (Leipzig)
On Radon measures and its topological structure. (English) Zbl 1042.28500
MSC:
28C15
Fejer’s approximation of continuous functions of unitary operators. (English) Zbl 1049.47020
Reviewer: Adhemar Bultheel (Leuven)
Representation of multilinear operators on \(C(K,X)\) spaces. (English) Zbl 1018.46019
Reviewer: Charles Swartz (Las Cruces)
The Riesz theorem. (English) Zbl 1028.46024
Pap, E. (ed.), Handbook of measure theory. Vol. I and II. Amsterdam: North-Holland. 401-447 (2002).
Reviewer: Charles Swartz (Las Cruces)
The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory. (English) Zbl 1041.74008
Integration theory. A second course. (English) Zbl 1043.28001
Singapore: World Scientific (ISBN 981-238-115-5/hbk). viii, 277 p. (2002).
Reviewer: Jürgen Elstrodt (Münster)
An extension theorem for sequentially smooth functionals and extension theorems for measures. (English) Zbl 1027.46020
Functional analysis. Applications in mechanics and inverse problems. 2nd ed. (English) Zbl 0997.74003
Solid Mechanics and Its Applications. 100. Dordrecht: Kluwer Academic Publishers. x, 247 p. EUR 110.00; $ 96.00; £67.00 (2002).
Reviewer: A.Akutowicz (Berlin)
Non strongly bounded operators and \(\ell^1\). (English) Zbl 1009.46029
Reviewer: Taras Banakh (Lviv)
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