Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations

Date

2018-10-01

Author

Dosi, Anar

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The present paper is devoted to classification of multinormed W*-algebras in terms of their bounded parts. We obtain a precise description of the bornological predual of a multinormed W*-algebra, which is reduced to a multinormed noncommutative L-1-space in the semifinite case. A multinormed noncommutative L-2-space is obtained as the union space of a commutative domain in a semifinite von Neumann algebra. Multinormed W*-algebras of type I are described as locally bounded decomposable (unbounded) operators associated with a measurable covering.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/63825

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/j.jmaa.2018.06.002

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

A. Dosi, “Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 573–608, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63825.