Some results on AM-compact operators

Abdelmonaim El Kaddouri; Mohammed Moussa

doi:10.36045/bbms/1407765890

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Home > Journals > Bull. Belg. Math. Soc. Simon Stevin > Volume 21 > Issue 3 > Article

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

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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.

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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

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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

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Bull. Belg. Math. Soc. Simon Stevin

Vol.21 • No. 3 • august 2014

The Belgian Mathematical Society

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Abdelmonaim El Kaddouri, Mohammed Moussa "Some results on AM-compact operators," Bulletin of the Belgian Mathematical Society - Simon Stevin, Bull. Belg. Math. Soc. Simon Stevin 21(3), 565-572, (august 2014)

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