More on approximate operators

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DOI:

https://doi.org/10.4067/S0719-06462012000100009

Abstract

This note is a continuation of the work on (p,Ñ”)–approximate operators studied by Mirzavaziri, Miura and Moslehian. [4]. We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying  . Then there exists a partial isometry V such that ”–T − V”– < KÑ” for K > 0.

Keywords

Hilbert space , approximation , unitary , partial isometry , polar decomposition , (p, ε)-approximate operator
  • Philip J. Maher Mathematics And Statistics Group, Middlesex University, Hendon Campus, The Burrough, London Nw4 4 Bt, United Kingdom.
  • Mohammad Sal Moslehian Department Of Pure Mathematics, Centre Of Excellence In Analysis On Algebraic Structures, (CEAAS), Ferdowsi University Of Mashhad, P.O. Box 1159, Mashhad 91775, Iran.
  • Pages: 111–117
  • Date Published: 2012-03-01
  • Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

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Published

2012-03-01

How to Cite

[1]
P. J. Maher and M. Sal Moslehian, “More on approximate operators”, CUBO, vol. 14, no. 1, pp. 111–117, Mar. 2012.

Issue

Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

Section

Articles