Completely positive compact operators on non-commutative symmetric spaces

Peter Dodds; Bernardus De Pagter

doi:10.1007/s11117-010-0073-9

Completely positive compact operators on non-commutative symmetric spaces

Peter Dodds
, Bernardus De Pagter

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

4 Citations (Scopus)

Abstract

Under natural conditions, it is shown that a completely positive operator between two non-commutative symmetric spaces of τ-measurable operators which is dominated in the sense of complete positivity by a completely positive compact operator is itself compact.

Original language	English
Pages (from-to)	665-679
Number of pages	15
Journal	Positivity
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s11117-010-0073-9
Publication status	Published - 2010

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title = "Completely positive compact operators on non-commutative symmetric spaces",

abstract = "Under natural conditions, it is shown that a completely positive operator between two non-commutative symmetric spaces of τ-measurable operators which is dominated in the sense of complete positivity by a completely positive compact operator is itself compact.",

author = "Peter Dodds and \{De Pagter\}, Bernardus",

year = "2010",

doi = "10.1007/s11117-010-0073-9",

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AU - Dodds, Peter

AU - De Pagter, Bernardus

PY - 2010

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DO - 10.1007/s11117-010-0073-9

M3 - Article

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VL - 14

SP - 665

EP - 679

JO - Positivity

JF - Positivity

IS - 4

ER -

Completely positive compact operators on non-commutative symmetric spaces

Abstract

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