Centralizers and an ordering for faithful, normal states

Richard H. Herman

doi:10.1016/0022-1236(73)90055-4

Centralizers and an ordering for faithful, normal states

Richard H. Herman

Education Policy, Organization and Leadership

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Abstract

We order faithful, normal states by ordering their respective centralizers by inclusion. Maximal elements are shown to be what Takesaki has called inner homogeneous states. Centralizers of maximal elements exhibit a maximal property with respect to semifinite ranges of normal projections.

Original language	English (US)
Pages (from-to)	317-323
Number of pages	7
Journal	Journal of Functional Analysis
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/0022-1236(73)90055-4
State	Published - Aug 1973

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(73)90055-4

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title = "Centralizers and an ordering for faithful, normal states",

abstract = "We order faithful, normal states by ordering their respective centralizers by inclusion. Maximal elements are shown to be what Takesaki has called inner homogeneous states. Centralizers of maximal elements exhibit a maximal property with respect to semifinite ranges of normal projections.",

author = "Herman, {Richard H.}",

note = "Funding Information: supported by NSF Grant No. GP-29011.",

year = "1973",

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Centralizers and an ordering for faithful, normal states

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