[1] |
Akemann, C. A., Interpolation in \(W\)∗-algebras, Duke Math. J., 35, 525-534 (1968) · Zbl 0172.41201 |
[2] |
Bade, W. G., Extensions of interpolating sets, functional analysis, (Gelbaum, B. R., Proceedings of a Conference held at the University of California, Irvine (1967), Thompson: Thompson Washington) · Zbl 0214.37801 |
[3] |
Berruyer, J.; Ivol, B., L’espace \(M(T)\), C.R. Acad. Sci. Paris, 275, 33-36 (1972) · Zbl 0244.46030 |
[4] |
Berruyer, J.; Ivol, B., Une topologie sur l’espace des mesures de Riesz, C. R. Acad. Sci. Paris, 274, 1927-1930 (1972) · Zbl 0244.46029 |
[5] |
Beurling, A., Un théorème sur les fonctions bornées et uniformément continues sur l’axe reel, Acta Math. (Uppsala), 77, 127-136 (1945) · Zbl 0061.13311 |
[6] |
Bierstedt, K., Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt I, J. Reine Angew. Math., 259, 186-210 (1973) · Zbl 0252.46039 |
[7] |
Bierstedt, K., Gewichtete Räume stetiger vektorwertiger Functionen und das injektive Tensoproduct II, J. Reine. Angew. Math., 260, 133-146 (1973) · Zbl 0255.46025 |
[8] |
Bierstedt, K.; Meise, R., Lokalkonvexe Unterräume in topologischen Vektorräumen und das ϵ-Produkt, Manuscripta Math., 8, 143-172 (1973) · Zbl 0246.46054 |
[9] |
Billingsley, P., Convergence of probability measures (1968), Wiley: Wiley New York · Zbl 0172.21201 |
[10] |
Bishop, E., A generalization of the Stone-Weierstrass theorem, Pac. J. Math., 11, 777-783 (1961) · Zbl 0104.09002 |
[11] |
Buck, R. C., Operator algebras and dual spaces, (Proc. Amer. Math. Soc., 3 (1952)), 681-687 · Zbl 0047.35702 |
[12] |
Buck, R. C., Algebraic properties of classes of analytic functions, Seminars on analytic functions II, ((1957), Institute for advanced study: Institute for advanced study Princeton, N. J), 175-188 |
[13] |
Buck, R. C., Bounded continuous functions on a locally compact space, Mich. J. Math., 5, 95-104 (1958) · Zbl 0087.31502 |
[14] |
H. Buchwalter; H. Buchwalter |
[15] |
Busby, R. C., Double centralizers and extensions of \(C\)∗-algebras, Trans. Amer. Math. Soc., 132, 79-99 (1968) · Zbl 0165.15501 |
[16] |
Collins, H. S., Completeness and compactness in linear topological spaces, Trans. Amer. Math. Soc., 79, 256-280 (1955) · Zbl 0064.35502 |
[17] |
Collins, H. S., On the space \(l^∞(S)\), with the strict topology, Math. Z., 106, 361-373 (1968) · Zbl 0169.15504 |
[18] |
Collins, H. S.; Dorroh, J. R., Remarks on certain function spaces, Math. Ann., 176, 157-168 (1968) · Zbl 0159.18401 |
[19] |
Collins, H. S.; Summers, W. H., Some applications of Hewitt’s factorization theorem, (Proc. Amer. Math. Soc., 21 (1969)), 727-733 · Zbl 0174.18501 |
[20] |
Collins, H. S.; Fontenot, R. A., Approximate identities and the strict topology, Pacific J. Math., 43, 63-79 (1972) · Zbl 0257.46049 |
[21] |
Conway, J. B., The strict topology and compactness in the space of measures, Bull. Amer. Math. Soc., 72, 75-78 (1966) · Zbl 0137.31503 |
[22] |
Conway, J. B., Subspaces of \((C_b(S)\), β), the space \((l^∞\), β), and \((H^∞\), β), Bull. Amer. Math. Soc., 72, 79-81 (1966) · Zbl 0137.31504 |
[23] |
Conway, J. B., The strict topology and compactness in the space of measures II, Trans. Amer. Math. Soc., 126, 474-486 (1967) · Zbl 0166.10901 |
[24] |
Conway, J. B., A theorem on sequential convergence of measures and some applications, Pacific J. Math., 28, 53-60 (1969) · Zbl 0193.43202 |
[25] |
Cooper, J. B., The strict topology and spaces with mixed topology, (Proc. Amer. Math. Soc., 30 (1971)), 583-592 · Zbl 0225.46004 |
[26] |
Dorroh, J. R., The localization of the strict topology via bounded sets, (Proc. Amer. Math. Soc., 20 (1969)), 413-414 · Zbl 0176.43003 |
[27] |
Domar, Y., On spectral analysis in the narrow topology, Math. Scand., 3-4, 328-332 (1955-1956) · Zbl 0078.29401 |
[28] |
Dudley, R. M., Convergence of Baire measures, Studia Math., 27, 251-268 (1966) · Zbl 0147.31301 |
[29] |
Farrell, O. J., On approximation by polynomials to a function analytic in a simply connected region, Bull. Amer. Math. Soc., 41, 707-711 (1934) · Zbl 0013.05902 |
[30] |
Fontenot, R. A., Approximate identities and the strict topology, (Dissertation (1972), Louisiana State University) · Zbl 0257.46049 |
[31] |
R. A. Fontenot; R. A. Fontenot · Zbl 0259.46037 |
[32] |
R. A. Fontenot; R. A. Fontenot · Zbl 0346.28005 |
[33] |
Fremlin, D. H.; Garling, D. J.H; Haydon, R. G., Bounded measures on topological spaces, (Proc. Lond. Math. Soc., 25 (1972)), 115-136 · Zbl 0236.46025 |
[34] |
Garling, D. J.H, A generalized form of inductive limit topology for vector spaces, (Proc. Lond. Math. Soc., 14 (1964)), 1-28 · Zbl 0163.36201 |
[35] |
Giles, Robin, A generalization of the strict topology, Trans. Amer. Math. Soc., 161, 467-474 (1971) · Zbl 0204.43603 |
[36] |
Gillman, L.; Jerison, M., Rings of Continuous Functions (1960), Van Nostrand: Van Nostrand Princeton, N.J · Zbl 0093.30001 |
[37] |
Glicksberg, I., Bishop’s generalized Stone-Weierstrass theorem for the strict topology, (Proc. Amer. Math. Soc., 14 (1963)), 329-333 · Zbl 0113.31501 |
[38] |
Granirer, E., On Baire measures on \(D\)-topological spaces, Fund. Math., 60, 1-22 (1967) · Zbl 0146.12204 |
[39] |
Grothendieck, A., Sur les espaces \((F)\) et (DF), Summa. Bras. Math., 3, 57-122 (1954) · Zbl 0058.09803 |
[40] |
Gulick, D., The σ-compact-open topology and its relatives, Math. Scand., 30, 159-176 (1972) · Zbl 0253.46045 |
[41] |
Gulick, D.; Schmets, J., Separability and seminorm separability for spaces bounded continuous functions, Bull. Soc. Roy. Sci. Liègé, 41, 254-260 (1972) · Zbl 0243.46037 |
[42] |
Haydon, Richard, Sur les espaces \(M(T)\) et \(M^∞(T)\), C. R. Acad. Sci. Paris, 275, 989-991 (1972) · Zbl 0248.46021 |
[43] |
Haydon, Richard, Sur un problème de H. Buchwalter, C. R. Acad. Sci. Paris, 275, 1077-1080 (1972) · Zbl 0244.46002 |
[44] |
Richard Haydon; Richard Haydon · Zbl 0294.28005 |
[45] |
Herz, C. S., The spectral theory of bounded functions, Trans. Amer. Math. Soc., 94, 181-232 (1960) · Zbl 0090.33202 |
[46] |
Jørgensen, J. Hoffmann, A generalization of the strict topology, Math. Scand., 30, 313-323 (1972) · Zbl 0256.46036 |
[47] |
Johnson, B. E., An introduction to the theory of centralizers, (Proc. Lond. Math. Soc., 14 (1964)), 299-320 · Zbl 0143.36102 |
[48] |
Johnson, B. E., Centralizers on certain topological algebras, J. London Math. Soc., 39, 603-614 (1964) · Zbl 0124.06902 |
[49] |
Kirk, R. B., Measures in topological spaces and \(B\)-compactness, (Nederl. Akad. Wetensch. Proc. Ser. A, 72 (1969)), 172-183 · Zbl 0175.14702 |
[50] |
Kirk, R. B., Locally compact, \(B\)-compact spaces, (Nederl. Akad. Wetensch. Proc. Ser. A, 72 (1969)), 333-344 · Zbl 0188.28003 |
[51] |
Knowles, J. D., Measures on topological spaces, (Proc. Lond. Math. Soc., 17 (1967)), 139-156 · Zbl 0154.05101 |
[52] |
Koosis, Paul, On the spectral analysis of bounded functions, Pacific J. Math., 16, 121-128 (1966) · Zbl 0146.12201 |
[53] |
Lazar, A.; Taylor, D. C., Double centralizers of Pedersen’s ideal of a \(C\)∗-algebra, Bull. Amer. Math. Soc., 78, 992-997 (1972) · Zbl 0257.46086 |
[54] |
Lazar, A.; Taylor, D. C., Double centralizers of Pedersen’s ideal of a \(C\)∗-algebra II, Bull. Amer. Math. Soc., 79, 361-366 (1973) · Zbl 0262.46056 |
[55] |
Le Cam, L., Convergence in distribution of stochastic processes, Statistics, 2, 207-236 (1957) · Zbl 0077.12301 |
[56] |
Leger, C.; Soury, P., Le convexe topologique des probabilitées sur un espace topologique, J. Math. Pures Appl., 50, 363-425 (1971) · Zbl 0226.60005 |
[57] |
McCharen, E., Arens multiplications on locally convex completions of Banach algebras, (Dissertation (1970), Louisiana State University) |
[58] |
McKennon, Kelly, Mem. Amer. Math. Soc., 3 (1971) |
[59] |
McKinney, Judith, Kernels of measures on completely regular spaces, Duke Math. J., 40, 915-923 (1973) · Zbl 0277.46044 |
[60] |
Moran, W., The additivity of measures on completely regular spaces, J. Lond. Math. Soc., 43, 633-639 (1968) · Zbl 0159.07802 |
[61] |
Moran, W., Measures and mappings on topological spaces, (Proc. Lond. Math. Soc., 19 (1969)), 493-508 · Zbl 0186.37201 |
[62] |
Moran, W., Measures on metacompact spaces, (Proc. Lond. Math. Soc., 20 (1970)), 507-524 · Zbl 0199.37802 |
[63] |
S. E. Mosiman\(C_bX\); S. E. Mosiman\(C_bX\) |
[64] |
Mosiman, S. E.; Wheeler, R. F., The strict topology in a completely regular setting: relations to topological measure theory, Canad. J. Math., 24, 873-890 (1972) · Zbl 0219.46003 |
[65] |
Nachbin, L., Elements of Approximation Theory (1967), Van Nostrand: Van Nostrand Princeton, N. J · Zbl 0173.41403 |
[66] |
Nachbin, L., Weighted approximation for algebras and modules of continuous functions: real and self-adjoint complex cases, Ann. Math., 81, 289-302 (1965) · Zbl 0134.12603 |
[67] |
Nachbin, L.; Machado, S.; Prolla, J., Weighted approximation, vector fibrations, and algebras of operators, J. Math. Pures Appl., 50, 299-323 (1971) · Zbl 0238.46041 |
[68] |
\( \textsc{Gert Pedersen}C\)Duke Math. J.; \( \textsc{Gert Pedersen}C\)Duke Math. J. |
[69] |
Preiss, D., Metric spaces in which Prohorov’s theorem is not valid, Z. Wahrsch. Verw. Gebiete, 27, 109-116 (1973) · Zbl 0255.60002 |
[70] |
Prolla, J. B., Bishop’s generalized Stone-Weierstrass theorem for weighted spaces, Math. Ann., 191, 283-289 (1971) · Zbl 0202.12603 |
[71] |
Rickart, C., General theory of Banach algebras (1960), Van Nostrand: Van Nostrand Princeton, N. J · Zbl 0095.09702 |
[72] |
Rome, Michel, Le dual de l’espace compactologique \(C^∞(T)\), C. R. Acad. Sci. Paris, 274, 1631-1634 (1972) · Zbl 0234.46054 |
[73] |
Rome, Michel, Ordre et compacite dans l’espace \(M^∞(T)\), C. R. Acad. Sci. Paris, 274, 1817-1820 (1972) · Zbl 0236.46062 |
[74] |
Robertson, A. P.; Robertson, W., Topological Vector Spaces (1964), Cambridge, Univ. Press: Cambridge, Univ. Press New York · Zbl 0123.30202 |
[75] |
Rubel, L. A., Bounded convergence of analytic functions, Bull. Amer. Math. Soc., 77, 13-24 (1971) · Zbl 0206.42301 |
[76] |
Rubel, L. A.; Shields, A. L., The space of bounded analytic functions on a region, Ann. Inst. Fourier Grenoble, 16, 235-277 (1966) · Zbl 0152.13202 |
[77] |
Rubel, L. A.; Shields, A. L., The second duals of certain spaces of analytic functions, J. Austr. Math. Soc., 11, 276-280 (1970) · Zbl 0197.39001 |
[78] |
Rubel, L. A.; Ryff, J. V., The bounded weak-star topology and the bounded analytic functions, J. Functional Analysis, 5, 167-183 (1970) · Zbl 0189.44701 |
[79] |
Sentilles, F. Dennis, Compactness and convergence in the space of measures, Ill. J. Math., 13, 761-768 (1969) · Zbl 0179.46601 |
[80] |
Sentilles, F. Dennis, The strict topology on bounded sets, Pacific J. Math., 34, 529-540 (1970) · Zbl 0205.40901 |
[81] |
Sentilles, F. Dennis, Compact and weakly compact operators on \((C_b(S)\), β), Ill. J. Math., 13, 769-776 (1969) · Zbl 0179.45901 |
[82] |
Sentilles, F. Dennis, Bounded continuous functions on a completely regular space, Trans. Amer. Math. Soc., 168, 311-336 (1972) · Zbl 0244.46027 |
[83] |
Sentilles, F. Dennis, Conditions for equality of the Mackey and strict topologies, Bull. Amer. Math. Soc., 76, 107-112 (1970) · Zbl 0215.20201 |
[84] |
F. Dennis Sentilles and R. F. Wheeler\(C_bX\); F. Dennis Sentilles and R. F. Wheeler\(C_bX\) · Zbl 0288.46019 |
[85] |
Sentilles, F. Dennis; Taylor, D. C., Factorization in Banach algebras and the general strict topology, Trans. Amer. Math. Soc., 142, 141-152 (1969) · Zbl 0185.21103 |
[86] |
Shapiro, Joel H., Weak topologies on subspaces of \(C_b(S)\), Trans. Amer. Math. Soc., 157, 471-479 (1971) · Zbl 0217.16501 |
[87] |
Shapiro, Joel H., The bounded weak star topology and the general strict topology, J. Functional Analysis, 8, 275-286 (1971) · Zbl 0227.46023 |
[88] |
Shapiro, Joel H., Noncoincidense of the strict and strong operator topologies, (Proc. Amer. Math. Soc., 35 (1972)), 81-87 · Zbl 0258.46026 |
[89] |
Summers, W. H., A representation theorem for biequicontinuous completed tensor products of weighted spaces, Trans. Amer. Math. Soc., 146, 121-131 (1969) · Zbl 0189.12702 |
[90] |
Summers, W. H., Dual spaces of weighted spaces, Trans. Amer. Math. Soc., 151, 323-333 (1970) · Zbl 0203.12401 |
[91] |
Summers, W. H., Factorization in Fréchet spaces, Studia Math., 39, 209-216 (1971) · Zbl 0214.13703 |
[92] |
Summers, W. H., The general complex bounded case of the strict weighted approximation problem, Math. Ann., 192, 90-98 (1971) · Zbl 0203.43402 |
[93] |
Summers, W. H., Weighted spaces and weighted approximation (1970), Séminaire d’analyse moderne: Séminaire d’analyse moderne Sherbrooke · Zbl 0247.41025 |
[94] |
Summers, W. H., Weighted approximation for modules of continuous functions, Bull. Amer. Math. Soc., 79, 386-388 (1973) · Zbl 0235.41017 |
[95] |
W. H. Summers; W. H. Summers · Zbl 0321.41029 |
[96] |
W. H. Summers; W. H. Summers · Zbl 0288.46047 |
[97] |
Summers, W. H., Separability in the strict and substrict topologies, (Proc. Amer. Math. Soc., 35 (1972)), 507-514 · Zbl 0256.46037 |
[98] |
Taylor, D. C., The strict topology for double centralizer algebras, Trans. Amer. Math. Soc., 150, 633-643 (1970) · Zbl 0204.14701 |
[99] |
Taylor, D. C., A general Phillips theorem for \(C\)∗-algebras and some applications, Pacific J. Math., 40, 477-488 (1972) · Zbl 0239.46061 |
[100] |
Taylor, D. C., Interpolation in algebras of operator fields, J. Functional Analysis, 10, 159-190 (1972) · Zbl 0245.46083 |
[101] |
Todd, C., Stone-Weierstrass theorem for the strict topology, (Proc. Amer. Math. Soc., 16 (1965)), 654-659 · Zbl 0141.12203 |
[102] |
Van Rooij, A. C.M, Tight functionals and the strict topology, Kyungpook Math. J., 7, 41-43 (1967) |
[103] |
Amer. Math. Soc. Transl., 48, 161-228 (1965) |
[104] |
Wells, J., Bounded continuous vector valued functions on a locally compact space, Michigan Math. J., 11, 119-126 (1965) · Zbl 0163.36301 |
[105] |
Wheeler, R. F., The strict topology, separable measures, and paracompactness, Pacific J. Math., 47, 287-302 (1973) · Zbl 0244.46028 |
[106] |
Wheeler, R. F., The strict topology for \(P\)-spaces, (Proc. Amer. Math. Soc., 41 (1973)), 466-472 · Zbl 0272.46018 |
[107] |
Wiweger, A., Linear spaces with mixed topology, Studia Math., 20, 47-68 (1961) · Zbl 0097.31301 |