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ArticleOriginal scientific text

Title

Finite rank elements in semisimple Banach algebras

Authors 1, 2

Affiliations

  1. University of Maribor, PF, Koroška 160, 2000 Maribor, Slovenia
  2. University of Maribor, SF, Smetanova 17, 2000 Maribor, Slovenia

Abstract

Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved.

Bibliography

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Studia Mathematica
1998/128/3
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Pages:
287-298
Main language of publication
English
Received
1997-07-15
Accepted
1997-10-29
Published
1998
Exact and natural sciences