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ArticleOriginal scientific text

Title

Compressible operators and the continuity of homomorphisms from algebras of operators

Authors 1

Affiliations

  1. Department of Mathematics, The University of Newcastle, University Drive, Callaghan, Newcastle, N.S.W. 2308, Australia

Abstract

The notion of a compressible operator on a Banach space, E, derives from automatic continuity arguments. It is related to the notion of a cartesian Banach space. The compressible operators on E form an ideal in ℬ(E) and the automatic continuity proofs depend on showing that this ideal is large. In particular, it is shown that each weakly compact operator on the James' space, J, is compressible, whence it follows that all homomorphisms from ℬ(J) are continuous.

Bibliography

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Studia Mathematica
1995/115/3
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Pages:
251-259
Main language of publication
English
Received
1994-08-24
Accepted
1995-03-01
Published
1995
Exact and natural sciences