<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

The diestel-faires theorem on series

Mathematical Department New Mexico State University Las Cruces, NM, 88003 U. S. A.

Tatra Mountains Mathematical Publications

{"article-title":"The diestel-faires theorem on series"}

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...

The diestel-faires theorem on series

Published Online: Nov 13, 2012

Page range: 107 - 110

DOI: https://doi.org/10.2478/v10127-010-0025-6

Keywords
subseries convergence, weak*.

This content is open access.

The diestel-faires theorem on series

Published Online: Nov 13, 2012

Page range: 107 - 110

DOI: https://doi.org/10.2478/v10127-010-0025-6

Keywordssubseries convergence, weak*.

This content is open access.

Keywords
subseries convergence, weak*.