On rank one and finite elements of Banach algebras
Studia Mathematica (1993)
- Volume: 104, Issue: 3, page 211-219
- ISSN: 0039-3223
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topMouton, T., and Raubenheimer, H.. "On rank one and finite elements of Banach algebras." Studia Mathematica 104.3 (1993): 211-219. <http://eudml.org/doc/215970>.
@article{Mouton1993,
abstract = {We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.},
author = {Mouton, T., Raubenheimer, H.},
journal = {Studia Mathematica},
keywords = {spectral characterization of rank one elements; socle of a semisimple Banach algebra},
language = {eng},
number = {3},
pages = {211-219},
title = {On rank one and finite elements of Banach algebras},
url = {http://eudml.org/doc/215970},
volume = {104},
year = {1993},
}
TY - JOUR
AU - Mouton, T.
AU - Raubenheimer, H.
TI - On rank one and finite elements of Banach algebras
JO - Studia Mathematica
PY - 1993
VL - 104
IS - 3
SP - 211
EP - 219
AB - We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.
LA - eng
KW - spectral characterization of rank one elements; socle of a semisimple Banach algebra
UR - http://eudml.org/doc/215970
ER -
References
top- [1] B. Aupetit, Propriétés Spectrales des Algèbres de Banach, Springer, Berlin 1979. Zbl0409.46054
- [2] B. A. Barnes, G. J. Murphy, M. R. F. Smyth and T. T. West, Riesz and Fredholm Theory in Banach Algebras, Pitman, Boston 1982. Zbl0534.46034
- [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973. Zbl0271.46039
- [4] R. A. Hirschfeld and B. E. Johnson, Spectral characterization of finite-dimensional algebras, Indag. Math. 34 (1972), 19-23. Zbl0232.46043
- [5] A. A. Jafarian and A. R. Sourour, Spectrum-preserving linear maps, J. Funct. Anal. 66 (1986), 255-261. Zbl0589.47003
- [6] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676. Zbl0394.46041
- [7] Z. Słodkowski, On the subharmonicity of the capacity of the spectrum, Proc. Amer. Math. Soc. 81 (1981), 243-249. Zbl0407.46046
Citations in EuDML Documents
top- B. Aupetit, H. du T. Mouton, Spectrum preserving linear mappings in Banach algebras
- Robin Harte, On rank one elements
- Matej Brešar, Peter Šemrl, Finite rank elements in semisimple Banach algebras
- Bernard Aupetit, H. Mouton, Trace and determinant in Banach algebras
- L. Lindeboom, H. Raubenheimer, On regularities and Fredholm theory
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