Title : ( More on Approximate operators )
Authors: Philip Maher , Mohammad Sal Moslehian ,
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Abstract
We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying displaystyle{ | T T^{*} T - T | < epsilon < {2 over 3 sqrt{3}}}. Then there exists a partial isometry V such that |T - V | < K epsilon for K > 0 .
Keywords
, Hilbert space; approximation; unitary; partial isometry; polar decomposition; (p, epsilon) -approximate operator
@article{paperid:1022942,
author = {Philip Maher and Sal Moslehian, Mohammad},
title = {More on Approximate operators},
journal = {CUBO, A Mathematical Journal},
year = {2012},
volume = {47},
number = {1},
month = {June},
issn = {0716-7776},
pages = {111--117},
numpages = {6},
keywords = {Hilbert space; approximation; unitary; partial isometry; polar decomposition; (p; epsilon) -approximate operator},
}
%0 Journal Article
%T More on Approximate operators
%A Philip Maher
%A Sal Moslehian, Mohammad
%J CUBO, A Mathematical Journal
%@ 0716-7776
%D 2012
