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Title: Embedding Banach spaces into the space of bounded functions with countable support
Abstract

We prove that a WLD subspace of the spaceconsisting of all bounded, countably supported functions on a set Γ embeds isomorphically intoif and only if it does not contain isometric copies of. Moreover, a subspace ofis constructed that has an unconditional basis, does not embed into, and whose every weakly compact subset is separable (in particular, it cannot contain any isomorphic copies of).

 
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NSF-PAR ID:
10461075
Author(s) / Creator(s):
 ;  
Publisher / Repository:
Wiley Blackwell (John Wiley & Sons)
Date Published:
Journal Name:
Mathematische Nachrichten
Volume:
292
Issue:
9
ISSN:
0025-584X
Page Range / eLocation ID:
p. 2028-2031
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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