Open AccessLocating subsets of B(H) relative to seminorms inducing the strong-operator topology
Author(s) -
Bridges
Publication year - 2011
Publication title -
journal of logic and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.278
H-Index - 4
ISSN - 1759-9008
DOI - 10.4115/jla.2011.3.3
Subject(s) - mathematics , operator (biology) , topology (electrical circuits) , discrete mathematics , pure mathematics , combinatorics , biochemistry , chemistry , repressor , transcription factor , gene
Let H be a Hilbert space, andA an inhabited, bounded, convex subset ofB(H). We give a constructive proof thatA is weak-operator totally bounded if and only if it is located relative to a certain family of seminorms that induces the strong-operator topology onB(H).
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