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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