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

S. S. Dragomir

S. S. Dragomir

  • Mathematics, College of Engineering & Science Victoria University, PO Box 14428,Melbourne City, Australia
  • 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, South Africa
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Dragomir, S. S.
  
Sep 02, 2017
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Published Online: Sep 02, 2017
Page range: 63 - 86
Received: Apr 11, 2016
Accepted: Apr 12, 2016
DOI: https://doi.org/10.1515/awutm-2017-0005
Keywords
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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