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Sequential w-right continuity and summing operators

✍ Scribed by Joe Diestel; Antonio M. Peralta; Daniele Puglisi

Book ID
102494041
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
189 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We continue the study of the w‐right and strong* topologies in general Banach spaces started in 36, 37 and 35. We show that in L~1~(μ)‐spaces the w‐right convergence of sequences admits a simpler control. Some considerations about these topologies will be contemplated in the particular cases of C*‐algebras and JB*‐triples in connection with summing operators. We also study (sequential) w‐right‐norm and strong*‐norm continuity for holomorphic mappings. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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