Dual subspaces of operators

B. Chevreau; I. B. Jung; E. Ko; C. Pearcy

doi:10.1016/j.jmaa.2010.01.001

Dual subspaces of operators

B. Chevreau, I. B. Jung, E. Ko, C. Pearcy

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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].

Original language	English
Pages (from-to)	218-225
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	366
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2010.01.001
State	Published - 1 Jun 2010

Keywords

Dual algebras
Dual subspaces
Noncyclic vectors

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10.1016/j.jmaa.2010.01.001

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title = "Dual subspaces of operators",

abstract = "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].",

keywords = "Dual algebras, Dual subspaces, Noncyclic vectors",

author = "B. Chevreau and Jung, {I. B.} and E. Ko and C. Pearcy",

note = "Funding Information: ✩ This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2008-314-C00016). * Corresponding author. E-mail addresses: Bernard.Chevreau@math.u-bordeaux.fr (B. Chevreau), ibjung@knu.ac.kr (I.B. Jung), eiko@ewha.ac.kr (E. Ko), pearcy@math.tamu.edu (C. Pearcy).",

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doi = "10.1016/j.jmaa.2010.01.001",

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AU - Chevreau, B.

AU - Jung, I. B.

AU - Ko, E.

AU - Pearcy, C.

N1 - Funding Information: ✩ This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD, Basic Research Promotion Fund) (KRF-2008-314-C00016). * Corresponding author. E-mail addresses: Bernard.Chevreau@math.u-bordeaux.fr (B. Chevreau), ibjung@knu.ac.kr (I.B. Jung), eiko@ewha.ac.kr (E. Ko), pearcy@math.tamu.edu (C. Pearcy).

PY - 2010/6/1

Y1 - 2010/6/1

N2 - 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].

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KW - Dual algebras

KW - Dual subspaces

KW - Noncyclic vectors

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SP - 218

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Dual subspaces of operators

Abstract

Keywords

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