Finite-dimensional ideals in Banach algebras

• Autorzy: Bertram Yood
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 2
• Strony: 295-301

Daty

wydano

1992

otrzymano

1991-01-04

poprawiono

1991-07-24

Twórcy

autor

Bertram Yood

• Department of Mathematicsi, Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.

Bibliografia

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• [2] B. Barnes, Some theorems concerning the continuity of algebra homomorphisms, Proc. Amer. Math. Soc. 18 (1967), 1035-1037.
• [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York 1973.
• [4] L. Dalla, S. Giotopoulos and N. Katseli, The socle and finite-dimensionality of a semiprime Banach algebra, Studia Math. 92 (1989), 201-204.
• [5] I. N. Herstein, Noncommutative Rings, Carus Math. Monographs 15, Math. Assoc. America, 1968.
• [6] I. Kaplansky, Dual rings, Ann. of Math. 49 (1948), 689-701.
• [7] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676.
• [8] C. E. Rickart, General Theory of Banach Algebras, Van Nostrand, Princeton 1960.
• [9] M. R. F. Smyth, On problems of Olubummo and Alexander, Proc. Royal Irish Acad. 80A (1980), 69-74.
• [10] A. W. Tullo, Conditions on Banach algebras which imply finite-dimensionality, Proc. Edinburgh Math. Soc. 20 (1976), 69-74.
• [11] K. Vala, Sur les éléments compacts d'une algèbre normée, Ann. Acad. Sci. Fenn. Ser. A I Math. 407 (1967), 1-7.
• [12] B. Yood, Ideals in topological rings, Canad. Math. J. 16 (1964), 28-45.
• [13] B. Yood, Closed prime ideals in topological rings, Proc. London Math. Soc. (3) 24 (1972), 307-323.
• [14] B. Yood, On the strong radical of certain Banach algebras, Proc. Edinburgh Math. Soc. 21 (1978), 81-85.