Automorphisms of K(H) with respect to the star partial order

Gregor Dolinar; Alexander Guterman; Janko Marovt

doi:10.7153/oam-07-14

Automorphisms of K(H) with respect to the star partial order

Gregor Dolinar, Alexander Guterman, Janko Marovt

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

13 Scopus citations

Abstract

Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H. In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in both directions.

Original language	English
Pages (from-to)	225-239
Number of pages	15
Journal	Operators and Matrices
Volume	7
Issue number	1
DOIs	https://doi.org/10.7153/oam-07-14
State	Published - Mar 2013
Externally published	Yes

Keywords

Minus partial order
Preserver
Star partial order

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10.7153/oam-07-14

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title = "Automorphisms of K(H) with respect to the star partial order",

abstract = "Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H. In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in both directions.",

keywords = "Minus partial order, Preserver, Star partial order",

author = "Gregor Dolinar and Alexander Guterman and Janko Marovt",

year = "2013",

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doi = "10.7153/oam-07-14",

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T1 - Automorphisms of K(H) with respect to the star partial order

AU - Dolinar, Gregor

AU - Guterman, Alexander

AU - Marovt, Janko

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N2 - Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H. In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in both directions.

AB - Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H. In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in both directions.

KW - Minus partial order

KW - Preserver

KW - Star partial order

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JO - Operators and Matrices

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Automorphisms of K(H) with respect to the star partial order

Abstract

Keywords

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