On rank one and finite elements of Banach algebras

• Autorzy: T. Mouton , H. Raubenheimer
• Języki publikacji: EN

Abstrakty

EN

We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 104
• Numer: 3
• Strony: 211-219

Daty

wydano

1993

otrzymano

1991-09-11

poprawiono

1993-01-04

Twórcy

autor

T. Mouton

• Department of Mathematics, University of The Orange Free State, 9300 Bloemfontein, South Africa

autor

H. Raubenheimer

• Department of Mathematics, University of The Orange Free State, 9300 Bloemfontein, South Africa

Bibliografia

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• [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973.
• [4] R. A. Hirschfeld and B. E. Johnson, Spectral characterization of finite-dimensional algebras, Indag. Math. 34 (1972), 19-23.
• [5] A. A. Jafarian and A. R. Sourour, Spectrum-preserving linear maps, J. Funct. Anal. 66 (1986), 255-261.
• [6] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676.
• [7] Z. Słodkowski, On the subharmonicity of the capacity of the spectrum, Proc. Amer. Math. Soc. 81 (1981), 243-249.