IJPAM: Volume 82, No. 4 (2013)

NORM INEQUALITIES FOR SEQUENCES OF
BOUNDED LINEAR OPERATORS IN HILBERT SPACES

Mohammed Al-Dolat$^1$, Mohammed Ali$^2$
$^{1,2}$Department of Mathematics and Statistics
Jordan University of Science and Technology
Irbid, JORDAN


Abstract. Let $B(H)$ be the space of all bounded linear operators on a complex Hilbert space $H$, and let ${A_1}, \ldots ,{A_n} \in B(H)$. In this article, we obtain new upper bounds for $\left\Vert {\sum\limits_{j = 1}^n {{A_j}} } \right\Vert$. Moreover, we establish and generalize inequalities for the operator norm of sums of bounded linear operators in Hilbert spaces.

Received: September 9, 2012

AMS Subject Classification: 47A05, 47A12

Key Words and Phrases: operator norm, Hilbert space

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DOI: 10.12732/ijpam.v82i4.6 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 4