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2012/2013 On Some Modes of Convergence in Spaces with the Weak Banach-Saks Property
Marian Jakszto
Real Anal. Exchange 38(2): 487-492 (2012/2013).

Abstract

The paper proves a general theorem that relates some modes of convergence, such as pointwise a.e. convergence, to weak convergence in any space with the weak Banach-Saks property. Some results that follow immediately from the main theorem are given for specific functional spaces.

Citation

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Marian Jakszto. "On Some Modes of Convergence in Spaces with the Weak Banach-Saks Property." Real Anal. Exchange 38 (2) 487 - 492, 2012/2013.

Information

Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1298.46028
MathSciNet: MR3261892

Subjects:
Primary: 28A20 , 46B20
Secondary: 46E30 , 46E35

Keywords: convergence in measure , pointwise a.e. convergence , weak Banach-Saks property , weak convergence

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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