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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2014 (2014), Article ID 1

Norm and numerical radius inequalities for sums of operators in Hilbert spaces

S.S. Dragomir

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Abstract

By the use of some nonnegative Hermitian forms defined for n-tuple of bounded linear operators on the Hilbert space (H;h·,·i) we establish new numerical radius and operator norm inequalities for sum of products of operators. We obtain among others that…for any n-tuple of operators (T1,...,Tn), (V1,...,Vn). Applications for power series of normal operators with examples are given as well.

Published
16 October 2013
Volume
2014 (2014)
License
CC BY 3.0

Copyright © 2013 S.S. Dragomir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. S. Dragomir, Norm and numerical radius inequalities for sums of operators in Hilbert spaces, Adv. Inequal. Appl. 2014 (2014), 1.

BibTeX
@article{Dragomir2014,
  author  = {Dragomir, S.S.},
  title   = {Norm and numerical radius inequalities for sums of operators in Hilbert spaces},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {1},
  doi     = {}
}