Open Access
august 2014 Some results on AM-compact operators
Abdelmonaim El Kaddouri, Mohammed Moussa
Bull. Belg. Math. Soc. Simon Stevin 21(3): 565-572 (august 2014). DOI: 10.36045/bbms/1407765890

Abstract

We characterize Banach lattices under which each AM-compact (resp. b-AM-compact) operator is Dunford-Pettis. Also, we study the AM-compactness of limited completely continuous operators.

Citation

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Abdelmonaim El Kaddouri. Mohammed Moussa. "Some results on AM-compact operators." Bull. Belg. Math. Soc. Simon Stevin 21 (3) 565 - 572, august 2014. https://doi.org/10.36045/bbms/1407765890

Information

Published: august 2014
First available in Project Euclid: 11 August 2014

zbMATH: 1318.46008
MathSciNet: MR3250779
Digital Object Identifier: 10.36045/bbms/1407765890

Subjects:
Primary: 46B42 , 47B60 , 47B65

Keywords: AM-compact operator , b-AM-compact operator , limited completely continuous operator , limited set , order continuous norm , Positive Schur property

Rights: Copyright © 2014 The Belgian Mathematical Society

Vol.21 • No. 3 • august 2014
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