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

Moroccan Journal of Pure and Applied Analysis

Dragomir S. S.¹ 

[1] Mathematics, School of Engineering & Science Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia South Africa;

关键词: hermitian forms;    inner product;    hilbert space;    schwarz inequality;    numerical radius;    operator norm;    functions of operators;   

DOI  :  10.7603/s40956-016-0005-1

来源: DOAJ

【 摘 要 】

By the use of some inequalities for nonnegative Hermitian forms some new 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.

【 授权许可】

Unknown