Finite-Dimensional Left Ideals in the Duals of Introverted Spaces

Authors

M Filali
Mehdi S. Monfared, University of WindsorFollow

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.

Recommended Citation

Filali, M and Monfared, Mehdi S.. (2011). Finite-Dimensional Left Ideals in the Duals of Introverted Spaces. Proceedings of the American Mathematical Society, 139 (10), 3645-3656.
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