Some approximants in operator algebras.

Maher, Philip (2010) Some approximants in operator algebras. Rendiconti del Circolo matematico di Palermo, 59 (1). pp. 53-65. ISSN 0009-725X

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Abstract

In this paper we extend to C*-algebras and to von Neumann algebras some results on approximants that have previously been found in the context of (H) and of the von Neumann-Schatten classesC p , 1⩽ p <∞. We obtain results concerning positive approximants, unitary and partially isometric approximants and commutator approximants; and we study paranormality. Our main tools are the Gelfand-naimark Theorem and Berntzen’s results on normal spectral approximation.

Item Type:Article
Research Areas:Middlesex University Schools and Centres > School of Science and Technology > Design Engineering and Mathematics
ID Code:4691
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Deposited On:23 Mar 2010 13:44
Last Modified:13 May 2014 15:47

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