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December 2018 WCG spaces and their subspaces grasped by projectional skeletons
Marián Fabian, Vicente Montesinos
Funct. Approx. Comment. Math. 59(2): 231-250 (December 2018). DOI: 10.7169/facm/1721

Abstract

Weakly compactly generated Banach spaces and their subspaces are characterized by the presence of projectional skeletons with some additional properties. We work with real spaces. However the presented statements can be extended, without much extra effort, to complex spaces.

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Marián Fabian. Vicente Montesinos. "WCG spaces and their subspaces grasped by projectional skeletons." Funct. Approx. Comment. Math. 59 (2) 231 - 250, December 2018. https://doi.org/10.7169/facm/1721

Information

Published: December 2018
First available in Project Euclid: 26 October 2018

zbMATH: 07055553
MathSciNet: MR3892396
Digital Object Identifier: 10.7169/facm/1721

Subjects:
Primary: 11G40 , 46B20

Keywords: Banach space , commutative projectional skeleton , projectional resolution of the identity , rich family , weakly compactly generated space, , weakly Lindelöf determined space

Rights: Copyright © 2018 Adam Mickiewicz University

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Vol.59 • No. 2 • December 2018
Adam Mickiewicz University, Faculty of Mathematics and Computer Science
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