Functiones et Approximatio Commentarii Mathematici

WCG spaces and their subspaces grasped by projectional skeletons

Marián Fabian and Vicente Montesinos

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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.

Article information

Source
Funct. Approx. Comment. Math., Volume 59, Number 2 (2018), 231-250.

Dates
First available in Project Euclid: 26 October 2018

Permanent link to this document
https://projecteuclid.org/euclid.facm/1540519329

Digital Object Identifier
doi:10.7169/facm/1721

Mathematical Reviews number (MathSciNet)
MR3892396

Zentralblatt MATH identifier
07055553

Subjects
Primary: 11G40: $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10] 46B20: Geometry and structure of normed linear spaces

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

Citation

Fabian, Marián; Montesinos, Vicente. WCG spaces and their subspaces grasped by projectional skeletons. Funct. Approx. Comment. Math. 59 (2018), no. 2, 231--250. doi:10.7169/facm/1721. https://projecteuclid.org/euclid.facm/1540519329


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