Hermitian Forms and Inequalities for Sequences and Power Series of Operators in Hilbert Spaces-Reference-Cited by-同舟云学术

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Hermitian Forms and Inequalities for Sequences and Power Series of Operators in Hilbert Spaces

Published:2017-07-26 Issue:1 Volume:55 Page:63-86
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Dragomir S. S.¹²

Affiliation:

1. Mathematics, College of Engineering & Science Victoria University, PO Box 14428, Melbourne City , MC 8001, Australia

2. DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa

Abstract

Abstract By the use of some inequalities for nonnegative Hermitian forms various inequalities for sequences and power series of bounded linear operators in complex Hilbert spaces are established. Applications for some fundamental functions of interest are also given.

Publisher

Walter de Gruyter GmbH

Reference27 articles.

1. [1] N. G. de Bruijn, Problem 12, Wisk. Opgaven, 21, (1960), 12-14.

2. [2] M. L. Buzano, Generalizzazione della diseguaglianza di Cauchy-Schwarz. (Italian), Rend. Sem. Mat. Univ. e Politech. Torino, 31, (1974), 405-409.

3. [3] S. S. Dragomir, Some refinements of Schwartz inequality, Simpozionul de Matematici şi Aplicaţii, Timişoara, Romania, 1-2 Noiembrie 1985, 13-16.

4. [4] S. S. Dragomir, Grüss inequality in inner product spaces, The Australian Math Soc. Gazette, 26, (1999), 66-70.

5. [5] S. S. Dragomir, A generalization of Grüss' inequality in inner product spaces and applications, J. Math. Anal. Appl., 237, (1999), 74-82.

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