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

S.S. Dragomir

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.


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Published: 2013-10-16

How to Cite this Article:

S.S. Dragomir, Norm and numerical radius inequalities for sums of operators in Hilbert spaces, Advances in Inequalities and Applications, Vol 2014 (2014), Article ID 1

Copyright © 2014 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.

Advances in Inequalities and Applications

ISSN 2050-7461

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