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2014 The Banach-Saks Properties in Orlicz-Lorentz Spaces
Anna Kamińska, Han Ju Lee
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/423198

Abstract

The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).

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Anna Kamińska. Han Ju Lee. "The Banach-Saks Properties in Orlicz-Lorentz Spaces." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/423198

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1292.46005
MathSciNet: MR3182280
Digital Object Identifier: 10.1155/2014/423198

Rights: Copyright © 2014 Hindawi

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