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June 2011 Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs
Angela A. Albanese, Elisabetta M. Mangino
Funct. Approx. Comment. Math. 44(2): 243-258 (June 2011). DOI: 10.7169/facm/1308749127

Abstract

We prove some permanence results with respect to quotient spaces and to projective and injective tensor products of the Dunford-Pettis and Grothendieck properties in the setting of locally convex Hausdorff spaces.

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Angela A. Albanese. Elisabetta M. Mangino. "Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs." Funct. Approx. Comment. Math. 44 (2) 243 - 258, June 2011. https://doi.org/10.7169/facm/1308749127

Information

Published: June 2011
First available in Project Euclid: 22 June 2011

zbMATH: 1226.46002
MathSciNet: MR2841182
Digital Object Identifier: 10.7169/facm/1308749127

Subjects:
Primary: 46A20 , 46A45 , 47B37
Secondary: 46A04 , 46A08 , 46A13

Keywords: Dunford-Petty property , Grothendieck property , quotient space , Schur property , tensor product

Rights: Copyright © 2011 Adam Mickiewicz University

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Vol.44 • No. 2 • June 2011
Adam Mickiewicz University, Faculty of Mathematics and Computer Science
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