Weakly compact homomorphisms

We study the structure of weakly compact homomorphisms between Banach algebras. In particular, it is shown that between many pairs of algebras, the only weakly compact homomorphisms are those of finite rank.

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1992-06, Vol.331 (2), p.815-824
Main Authors: Galé, J. E., Ransford, T. J., White, M. C.
Format: Article
Language:English
Subjects:
Algebra
Approximation
Banach space
Exact sciences and technology
Factorization
Functional analysis
Homomorphisms
Linear transformations
Mathematical analysis
Mathematical theorems
Mathematics
Research article
Sciences and techniques of general use
Subalgebras
Topological theorems
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Description
Summary:We study the structure of weakly compact homomorphisms between Banach algebras. In particular, it is shown that between many pairs of algebras, the only weakly compact homomorphisms are those of finite rank.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-1992-1085942-9