Results 41 to 50 of about 76,535 (61)
Operator inequalities related to the Corach--Porta--Recht inequality [PDF]
Linear Algebra Appl. 436 (2012), no. 9, 3008-3017, 2011 We prove some refinements of an inequality due to X. Zhan in an arbitrary complex Hilbert space by using some results on the Heinz inequality. We present several related inequalities as well as new variants of the Corach--Porta--Recht inequality. We also characterize the class of operators satisfying $\left\Vert SXS^{-1}+S^{-1}XS+kX\right\Vert \geq (k ...
arxiv
On the estimation of the $q$-numerical radius via Orlicz functions [PDF]
arXivThis study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-sectorial matrices is introduced and further bounds for the q-numerical radius are established. Our results unify several existing bounds for the q-numerical radius.
arxiv
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