The diestel-faires theorem on series

Charles Swartz

doi:10.2478/v10127-010-0025-6

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The diestel-faires theorem on series

Tatra Mountains Mathematical Publications

Volume 46 (2010): Issue 1 (August 2010)

By: Charles Swartz

Open Access

|Nov 2012

Abstract

We give a proof of an Orlicz-Pettis Theorem of Diestel and Faires on weak* subseries convergent series in the dual of a Banach space using an elementary theorem on real valued matrices.

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