Document Type

Article

Publication Date

2011

Publication Title

Proceedings of the American Mathematical Society

Volume

139

Issue

10

First Page

3645

Last Page

3656

Abstract

We use representations of a Banach algebra A to completely characterize all finite-dimensional left ideals in the dual of introverted subspaces of A* and in particular in the double dual A**. We give sufficient conditions under which such ideals always exist and are direct sums of one-dimensional left ideals.

Comments

First published in Proceedings of the American Mathematical Society in vol. 139 (10), published by the American Mathematical Society.

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