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 [Article] (doi:10.1007/s12215-010-0003-5)


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: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 4691
Depositing User: Repository team
Date Deposited: 23 Mar 2010 13:44
Last Modified: 13 Oct 2016 14:18

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