On Banach modules I

The purpose of this series of papers is to present a general theory of Banach modules and to give some applications of it. The applications of the theory arise from observations that certain important notions of functional analysis are very closely related to certain Banach algebras and thereby to a...

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Published in:Mathematical proceedings of the Cambridge Philosophical Society 1981-11, Vol.90 (3), p.423-444
Main Author: Kaijser, Sten
Format: Article
Language:English
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Summary:The purpose of this series of papers is to present a general theory of Banach modules and to give some applications of it. The applications of the theory arise from observations that certain important notions of functional analysis are very closely related to certain Banach algebras and thereby to a module structure. This holds in particular for Banach lattices (which are C(X)-modules), interpolation spaces, tensor products and operator ideals.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100058904