On the Fredholm theory of multipliers
HTML articles powered by AMS MathViewer
- by Pietro Aiena PDF
- Proc. Amer. Math. Soc. 120 (1994), 89-96 Request permission
Abstract:
Multipliers that are Fredholm operators on certain commutative semisimple Banach algebras may be characterized by means of a quotient algebra of multipliers. Some spectral properties of multipliers of these algebras are consideredReferences
- Pietro Aiena, Riesz multipliers on commutative semisimple Banach algebras, Arch. Math. (Basel) 54 (1990), no. 3, 293–303. MR 1037620, DOI 10.1007/BF01188526 —, Multipliers on Banach algebras with orthogonal basis, Boll. Un. Mat. Ital. (7) 5-B (1991), 240-256.
- Charles A. Akemann, Some mapping properties of the group algebras of a compact group, Pacific J. Math. 22 (1967), 1–8. MR 212587
- Bruce A. Barnes, Inverse closed subalgebras and Fredholm theory, Proc. Roy. Irish Acad. Sect. A 83 (1983), no. 2, 217–224. MR 736497 B. A. Barnes, G. J. Murphy, M. R. Smyth, and T. T. West, Riesz and Fredholm theory in Banach algebras, Research Notes in Math., vol. 67, Pitman, London, 1982.
- Frank F. Bonsall and John Duncan, Complete normed algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 80, Springer-Verlag, New York-Heidelberg, 1973. MR 0423029
- S. R. Caradus, W. E. Pfaffenberger, and Bertram Yood, Calkin algebras and algebras of operators on Banach spaces, Lecture Notes in Pure and Applied Mathematics, Vol. 9, Marcel Dekker, Inc., New York, 1974. MR 0415345
- Harro G. Heuser, Functional analysis, A Wiley-Interscience Publication, John Wiley & Sons, Ltd., Chichester, 1982. Translated from the German by John Horváth. MR 640429
- Taqdir Husain and Saleem Watson, Topological algebras with orthogonal Schauder bases, Pacific J. Math. 91 (1980), no. 2, 339–347. MR 615682
- Herbert Kamowitz, On compact multipliers of Banach algebras, Proc. Amer. Math. Soc. 81 (1981), no. 1, 79–80. MR 589140, DOI 10.1090/S0002-9939-1981-0589140-2
- Irving Kaplansky, Dual rings, Ann. of Math. (2) 49 (1948), 689–701. MR 25452, DOI 10.2307/1969052
- Ronald Larsen, An introduction to the theory of multipliers, Die Grundlehren der mathematischen Wissenschaften, Band 175, Springer-Verlag, New York-Heidelberg, 1971. MR 0435738
- G. E. Šilov, On decomposition of a commutative normed ring in a direct sums of ideals, Mat. Sbornik N.S. 32(74) (1953), 353–364 (Russian). MR 0054177
- Ju-kwei Wang, Multipliers of commutative Banach algebras, Pacific J. Math. 11 (1961), 1131–1149. MR 138014
- J. G. Wendel, On isometric isomorphism of group algebras, Pacific J. Math. 1 (1951), 305–311. MR 49910
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 89-96
- MSC: Primary 46J05; Secondary 46H30, 47A53, 47B48
- DOI: https://doi.org/10.1090/S0002-9939-1994-1145939-4
- MathSciNet review: 1145939