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On a question of Pełczyński about multilinear operators

Villanueva Díez, Ignacio and Cabello Sánchez, Félix and García Herrera, Ricardo (2000) On a question of Pełczyński about multilinear operators. Bulletin of the Polish Academy of Sciences. Mathematics, 48 (4). pp. 341-345. ISSN 0239-7269

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Abstract

We show that a separable Banach space X has the Schur property if and only if every separately compact bilinear application from X into c0 is completely continuous, thus answering a question raised by Pełczyński.

Item Type:Article
Uncontrolled Keywords:Schur property ; Multilinear operators
Subjects:Sciences > Mathematics > Numerical analysis
ID Code:11469
Deposited On:04 Nov 2010 09:55
Last Modified:29 Apr 2013 19:57

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