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A note on annihilator Banach algebras

Published online by Cambridge University Press:  24 October 2008

S. Giotopoulos
S. Giotopoulos
Affiliation:
Department of Mathematics, University of Athens, 157 81 Athens, Greece
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Extract

The purpose of this note is to present simple proofs of the basic results concerning semi-simple annihilator Banach algebras as well as new results (for terminology notation and the standard approach see [2]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 1 , January 1985 , pp. 101 - 106
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Alexander, J. C.. Compact Banach algebras. Proc. London Math. Soc. (3) 18 (1968), 1–19.CrossRefGoogle Scholar
[2]Bonsall, F. F. and Duncan, J.. Complete normed algebras (Springer-Verlag, 1973).CrossRefGoogle Scholar
[3]ErdOS, J. A.. On certain elements of C*-algebras. Illinois J. Math. 15 (1971), 682–697.CrossRefGoogle Scholar
[4]Erdos, J. A., Giotopoulos, S. and Lambrou, M.. Rank one elements of Banach algebras. Mathematika 24 (1977), 176–181.CrossRefGoogle Scholar
[5]Lambrou, M. S.. Automatic continuity and implementation of holomorphisms, preprint 1982 (Univ. of Crete, Iraklion, Crete, Greece).Google Scholar
[6]Moore, R. L.. Isomorphisms of certain CSL algebra, preprint (Univ. of Alabama, University, AL35486).Google Scholar
[7]Ringrose, J. R.. On some algebras of operators. Proc. London Math. Soc. (3) 15 (1965), 61–83.CrossRefGoogle Scholar
[8]Ringrose, J. R.. On some algebras of operators II. Proc. London Math. Soc. (3) 16 (1966), 385–402.CrossRefGoogle Scholar