Sequential w‐right continuity and summing operators | Zendy

Diestel Joe | Zendy; Peralta Antonio M. | Zendy; Puglisi Daniele | Zendy

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Sequential w‐right continuity and summing operators

Author(s) -

Diestel Joe,

Peralta Antonio M.,

Puglisi Daniele

Publication year - 2011

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200810163

Subject(s) - mathematics , banach space , norm (philosophy) , holomorphic function , pure mathematics , convergence (economics) , network topology , connection (principal bundle) , discrete mathematics , computer science , law , geometry , political science , economics , economic growth , operating system

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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