Date of Award

11-1-2009

Document Type

Dissertation

Degree Name

Ph.D.

Department

Mathematics

First Advisor

James N. Hagler, Ph.D.

Keywords

Banach

Abstract

An example of a Banach space, X, with a nonseparable dual such that l1 does not imbed in X is investigated. Not every weakly null sequence has a subsequence equivalent to the usual basis of c0, but c0 imbeds in many subspaces of X. The space l1 does imbed in X, the dual space of X, yet weakly converging sequences in X need not converge in norm.

Provenance

Received from ProQuest

Rights holder

Annette B. Locke

File size

117 p.

File format

application/pdf

Language

en

Discipline

Mathematics

Included in

Mathematics Commons

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