Sectional representation of Banach modules and their multipliers

Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ. We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X. There is also a representation of M(X), the space of...

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Bibliographic Details
Main Authors: Terje Hõim, D. A. Robbins
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203207109