Cohomology groups of commutative Banach algebras
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- by Herbert Kamowitz PDF
- Trans. Amer. Math. Soc. 102 (1962), 352-372 Request permission
References
- Richard Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839โ848. MR 45941, DOI 10.1090/S0002-9939-1951-0045941-1
- William G. Bade and Philip C. Curtis Jr., The Wedderburn decomposition of commutative Banach algebras, Amer. J. Math. 82 (1960), 851โ866. MR 123200, DOI 10.2307/2372944 N. Dunford and J. Schwartz, Linear operators. I, Interscience, New York, 1958.
- Chester Feldman, The Wedderburn principal theorem in Banach algebras, Proc. Amer. Math. Soc. 2 (1951), 771โ777. MR 44042, DOI 10.1090/S0002-9939-1951-0044042-6
- G. Hochschild, On the cohomology groups of an associative algebra, Ann. of Math. (2) 46 (1945), 58โ67. MR 11076, DOI 10.2307/1969145 H. Kamowitz, Cohomology groups of commutative Banach algebras, Dissertation, Brown Univ., Providence, R.I., 1960 (unpublished).
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- D. J. Newman, The nonexistence of projections from $L^{1}$ to $H^{1}$, Proc. Amer. Math. Soc. 12 (1961), 98โ99. MR 120524, DOI 10.1090/S0002-9939-1961-0120524-X
- Alex Rosenberg and Daniel Zelinsky, Cohomology of infinite algebras, Trans. Amer. Math. Soc. 82 (1956), 85โ98. MR 78358, DOI 10.1090/S0002-9947-1956-0078358-3
- I. M. Singer and J. Wermer, Derivations on commutative normed algebras, Math. Ann. 129 (1955), 260โ264. MR 70061, DOI 10.1007/BF01362370
- Daniel Zelinsky, Raising idempotents, Duke Math. J. 21 (1954), 315โ322. MR 62107
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 102 (1962), 352-372
- MSC: Primary 46.55
- DOI: https://doi.org/10.1090/S0002-9947-1962-0170219-7
- MathSciNet review: 0170219