Cartesian decompositions and Schatten norms

Bhatia, Rajendra ; Kittaneh, Fuad (2000) Cartesian decompositions and Schatten norms Linear Algebra and its Applications, 318 (1-3). pp. 109-116. ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...

Related URL: http://dx.doi.org/10.1016/S0024-3795(00)00206-8

Abstract

Let T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp inequalities comparing the norms ||T||p with ||(A2+B2)½ ||p and (||A||2p+||B||2p)½.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Hermitian Operator; Schatten P-norms; Majorisation; Inequalities
ID Code:2573
Deposited On:08 Oct 2010 06:54
Last Modified:08 Oct 2010 06:54

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