Relative modular theory for a weight

Author:
Hideaki Izumi

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2703-2713

MSC (1991):
Primary 46L10

DOI:
https://doi.org/10.1090/S0002-9939-99-04840-6

Published electronically:
April 15, 1999

MathSciNet review:
1600156

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider the balanced weight of a semi-finite weight and a (not necessarily faithful) normal positive functional on a von Neumann algebra , and discuss how the modular operator and the modular conjugation are described under the identification of the standard Hilbert space with , where is the support projection of and .

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Additional Information

**Hideaki Izumi**

Email:
h-izumi@math.tohoku.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-99-04840-6

Received by editor(s):
March 31, 1997

Received by editor(s) in revised form:
November 24, 1997

Published electronically:
April 15, 1999

Communicated by:
David R. Larson

Article copyright:
© Copyright 1999
American Mathematical Society