Dual subspaces of operators

In this note we introduce some new constructions of dual spaces of operators, which are, of course, at the same time, operator spaces in the sense of Pisier (2003) [12]. We exemplify the utility of these constructs by establishing, in this more general setting, a curious and little known result from...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 366; no. 1; pp. 218 - 225
Main Authors Chevreau, B., Jung, I.B., Ko, E., Pearcy, C.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.06.2010
Elsevier
Subjects
Dual algebras
Dual subspaces
Exact sciences and technology
Mathematical analysis
Mathematics
Noncyclic vectors
Sciences and techniques of general use
Dual algebras
Dual subspaces
Noncyclic vectors
Space time
Dual algebra
Mathematical analysis
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Summary:In this note we introduce some new constructions of dual spaces of operators, which are, of course, at the same time, operator spaces in the sense of Pisier (2003) [12]. We exemplify the utility of these constructs by establishing, in this more general setting, a curious and little known result from the theory of dual algebras, namely from Chevreau and Pearcy (1991) [11].
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.01.001