First and second order perturbation bounds for the operator absolute value

Bhatia, Rajendra (1994) First and second order perturbation bounds for the operator absolute value Linear Algebra and its Applications, 208-209 . pp. 367-376. ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002437...

Related URL: http://dx.doi.org/10.1016/0024-3795(94)90449-9

Abstract

Norms of the first and the second derivatives of the map that takes an invertible Hilbert space operator to its absolute value are estimated. Using this, first and second order perturbation bounds for this map are obtained.

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Deposited On:08 Oct 2010 07:16
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