Results 11 to 20 of about 555 (45)
A characterization of operators via Berezin symbol and related questions
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]
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
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]
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
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
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
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
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
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
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