Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Sequences in the range of a vector measure with bounded variation
HTML articles powered by AMS MathViewer

by Cándido Piñeiro
Proc. Amer. Math. Soc. 123 (1995), 3329-3334
DOI: https://doi.org/10.1090/S0002-9939-1995-1291790-5

Abstract:

Let X be a Banach space. We consider sequences $({x_n})$ in X lying in the range of a measure valued in a superspace of X and having bounded variation. Among other results, we prove that G.T. spaces are the only Banach spaces in which those sequences are actually in the range of an ${X^{ \ast \ast }}$-valued measure of bounded variation.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46B20, 28B05, 46G10
  • Retrieve articles in all journals with MSC: 46B20, 28B05, 46G10
Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3329-3334
  • MSC: Primary 46B20; Secondary 28B05, 46G10
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1291790-5
  • MathSciNet review: 1291790