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Start Over Creator Montesinos, Vicente

1. A note on weakly Lindelöf determined Banach spaces

Creator:
Gonzáles, A. and Montesinos, Vicente
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
projectional generator, projectional resolution of the identity, weakly Lindelöf determined Banach space, Markushevich base, and Corson compacta
Language:
English
Description:
We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Convex-compact sets and Banach discs

Creator:
Monterde, I. and Montesinos, Vicente
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
weakly compact sets, convex-compact sets, and Banach discs
Language:
English
Description:
Every relatively convex-compact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper bound for the class of sets which are contained in a Banach disc is presented. If the topological dual $E'$ of a locally convex space $E$ is the $\sigma (E',E)$-closure of the union of countably many $\sigma (E',E)$-relatively countably compacts sets, then every weakly (relatively) convex-compact set is weakly (relatively) compact.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public