Results 11 to 20 of about 555 (45)

A characterization of operators via Berezin symbol and related questions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
doaj   +1 more source

Classification of Noncommutative Domain Algebras [PDF]

open access: yes, 2012
Noncommutative domain algebras are noncommutative analogues of the algebras of holomorphic functions on domains of $\C^n$ defined by holomorphic polynomials, and they generalize the noncommutative Hardy algebras. We present here a complete classification
Arias, Alvaro, Latremoliere, Frederic
core   +4 more sources

Multiplicative inequalities for weighted arithmetic and harmonic operator means

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B.
Dragomir Sever S.
doaj   +1 more source

Estimates for Tsallis relative operator entropy [PDF]

open access: yes, 2017
We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru   +2 more
core   +1 more source

Bounds for total antieigenvalue of a normal operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3877-3884, 2004., 2004
We give an alternative proof of a theorem of Gustafson and Seddighin (1993) following the idea used by Das et al. in an earlier study of antieigenvectors (1998). The result proved here holds for certain classes of normal operators even if the space is infinite dimensional.
Sk. M. Hossein   +3 more
wiley   +1 more source

Certain remarks on a class of evolution quasi‐variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 851-855, 2000., 2000
We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
wiley   +1 more source

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

open access: yesConcrete Operators, 2017
Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj   +1 more source

Structure of the antieigenvectors of a strictly accretive operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 761-766, 1998., 1997
A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for selfadjoint operators and the Davis′s inequality for normal operators are
K. C. Das, M. Das Gupta, K. Paul
wiley   +1 more source

On further refinements for Young inequalities

open access: yesOpen Mathematics, 2018
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj   +1 more source

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

open access: yesSpecial Matrices, 2019
In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj   +1 more source

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