MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS

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2012-12-01

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Dosi, Anar

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In this paper we investigate multinormed W*-algebras in terms of the central topologies of W*-algebras. The main result asserts that each multinormed W*-algebra can be realized as a local von Neumann algebra on a certain domain in a Hilbert space. Moreover, it admits the predual (unique up to an isometry), which is the l(1)-normed space. In the normed case the assertion is reduced to the known Sakai theorem.

Subject Keywords

Multinormed W*-algebra, Central topology, Unbounded operators, l(1)-normed space

URI

https://hdl.handle.net/11511/63943

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/s0002-9939-2012-11358-9

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Engineering, Article

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Citation Formats

A. Dosi, “MULTINORMED W*-ALGEBRAS AND UNBOUNDED OPERATORS,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 4187–4202, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63943.