Universal WCG Banach spaces and universal Eberlein compacts

DOI10.1007/BF02771694zbMath0637.46010MaRDI QIDQ1099032

Spiros A. Argyros, Yoav Benyamini

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Eberlein compactweakly compactly generatedconfinal cardinal numberstopological weight

Mathematics Subject Classification ID

Compactness (54D30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Duality and reflexivity in normed linear and Banach spaces (46B10) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (7)

On properties of theories which preclude the existence of universal models ⋮ Fraïssé sequences: category-theoretic approach to universal homogeneous structures ⋮ On the existence of overcomplete sets in some classical nonseparable Banach spaces ⋮ On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts ⋮ Universal spaces for classes of scattered eberlein compact spaces ⋮ Universality of Asplund spaces ⋮ Club guessing and the universal models

Cites Work

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• Separate continuity and joint continuity
• Factoring weakly compact operators
• Embedding weakly compact sets into Hilbert space
• Continuous images of weakly compact subsets of Banach spaces
• The structure of weakly compact sets in Banach spaces
• ON THE STRUCTURE OF SPACES OF CONTINUOUS FUNCTIONS AND THEIR COMPLETE PARACOMPACTNESS
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces

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