Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality

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Dragomir, Sever S (2009) Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality. Integral Transforms and Special Functions, 20 (10). pp. 757-767. ISSN 1065-2469

Abstract

In this paper, we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with nonnegative coefficients. In order to obtain these inequalities, some recent reverses of the Schwarz inequality for vectors in inner product spaces are utilized. Natural applications for some elementary functions of interest are also provided.

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Additional Information

Online ISSN: 1476-8291

Item type Article
URI https://vuir.vu.edu.au/id/eprint/4273
DOI 10.1080/10652460902910054
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID17559. bounded linear operators, commutators, Cartesian decomposition, accretive operators, inequalities, Schwarz inequality, selfadjoint operators, coefficients, Hilbert space
Citations in Scopus 15 - View on Scopus
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