Lipschitz continuity of the absolute value in preduals of semifinite factors

P. G. Dodds; T. K. Dodds; B. De Pagter; F. A. Sukochev

doi:10.1007/BF01332490

Lipschitz continuity of the absolute value in preduals of semifinite factors

P. G. Dodds, T. K. Dodds, B. De Pagter, F. A. Sukochev

College of Science and Engineering

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

14 Citations (Scopus)

Abstract

We prove a weak-type estimate for the absolute value mapping in the preduals of semifinite factors which extends an earlier result of Kosaki for the trace class.

Original language	English
Pages (from-to)	28-44
Number of pages	17
Journal	Integral Equations and Operator Theory
Volume	34
Issue number	1
DOIs	https://doi.org/10.1007/BF01332490
Publication status	Published - Mar 1999

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title = "Lipschitz continuity of the absolute value in preduals of semifinite factors",

abstract = "We prove a weak-type estimate for the absolute value mapping in the preduals of semifinite factors which extends an earlier result of Kosaki for the trace class.",

author = "Dodds, {P. G.} and Dodds, {T. K.} and {De Pagter}, B. and Sukochev, {F. A.}",

year = "1999",

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AU - Dodds, P. G.

AU - Dodds, T. K.

AU - De Pagter, B.

AU - Sukochev, F. A.

PY - 1999/3

Y1 - 1999/3

N2 - We prove a weak-type estimate for the absolute value mapping in the preduals of semifinite factors which extends an earlier result of Kosaki for the trace class.

AB - We prove a weak-type estimate for the absolute value mapping in the preduals of semifinite factors which extends an earlier result of Kosaki for the trace class.

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SP - 28

EP - 44

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 1

ER -

Lipschitz continuity of the absolute value in preduals of semifinite factors

Abstract

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