Compact operators on some generalized mixed norm spaces-Reference-Cited by-同舟云学术

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Compact operators on some generalized mixed norm spaces

Published:2014 Issue:5 Volume:28 Page:1019-1026
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Alotaibi A.¹,Malkowsky E.²,Nergiz H.³

Affiliation:

1. King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia

2. University of Giessen, Department of Mathematics, Giessen, Germany + Fatih University, Faculty of Arts and Sciences, Department of Mathematics, Büyükçekmece, Istanbul, Turkey

3. Department of Mathematics, Faculty of Arts and Sciences, Fatih University, Büyükçekmece, Istanbul, Turkey

Abstract

We establish identities or estimates for the Hausdorff measure of noncompactness of operators from some generalized mixed norm spaces into any of the spaces c0, c, ?1, and [?1, ??]<m(?)>. Furthermore we give necessary and sufficient conditions for the operators in these cases to be compact. Our results are complementary to those in [1, 3, 13].

Publisher

National Library of Serbia

Subject

General Mathematics

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