Results 31 to 40 of about 127 (43)

Some majorization inequalities for convex functions of several variables

open access: yes, 2011
The purpose of this note is to prove some weak majorization inequalities involving convex functions of several variables. A sub-additive inequality for separately matrix convex functions is also proved.
Jagjit Singh Matharu, J. Aujla
semanticscholar   +1 more source

Generalized Derivation

open access: yesSUT Journal of Mathematics, 2004
In this paper, we give an extension of the orthogonality results to dominant operators and p-hyponormal or log-hyponormal operators, also we will generalize some commutativity results. AMS 2000 Mathematics Subject Classification. 47B47, 47A30, 47B20.
A. Bachir
semanticscholar   +1 more source

Weak convergence theorems for inertial Krasnoselskii-Mann iterations in the class of enriched nonexpansive operators in Hilbert spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we present some results about the aproximation of fixed points of nonexpansive and enriched nonexpansive operators. In order to approximate the fixed points of enriched nonexpansive mappings, we use the Krasnoselskii-Mann iteration for ...
Socaciu Liviu-Ignat
doaj   +1 more source

An extension of the Hardy-Littlewood inequality

open access: yes, 1979
The Hardy-Littlewood inequality is extended from I? to i? where w is any positive nondecreasing function. In this note we establish the inequality (fjyf w)' oo. (3) Since w(t) is nondecreasing we have /OO T f 00 1 \y"\2 < j \y^\2w, i = 0,2.
M. Kwong, A. Zettl
semanticscholar   +1 more source

On the proximinality of compact operators with range in $C(S)$

open access: yes, 1978
It is proved that the space of compact operators on X into C(S) is proximinal in the corresponding space of bounded operators, if X is a Hilbert space, a space IP, 1 0 there exists an a0 such that |*(||Xas + Y11) *(Ilxaxll) *(IIYID)I a0. DEFINITION 2.
J. Mach
semanticscholar   +1 more source

EPIMORPHISMS ONTO DERIVATION ALGEBRAS

open access: yesProceedings of the Edinburgh Mathematical Society, 2003
A. Villena
semanticscholar   +1 more source
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A trace inequality for non-commuting hyponormal tuples

International Journal of Mathematical Analysis, 2022
We introduce the class of almost right hyponormal and almost jointly hyponormal multi-operators and give a sufficient condition for some “commutator” associated to such multi-operators to belong to the trace class.
Vasile Lauric
semanticscholar   +1 more source

On the Norm of a Generalized Derivation

Pure Mathematical Sciences, 2019
Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A,B ∈ B(H), the map δAB : B(H)→ B(H) is a generalized inner derivation operator induced by A and B defined by δAB ...
Odero Adhiambo Beatrice   +2 more
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On reversing of the modified Young inequality

, 2014
In the present paper, by Haagerup theorem, we show that if A ∈ Mn is a non scalar strictly positive matrix and 0 ‖νAX + (1− ν)XA‖. Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
A. Salemi, A. Hosseini
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An asymmetric Putnam-Fuglede theorem for (p,k)-quasiposinormal operators

, 2016
An asymmetric Putnam-Fuglede Theorem for (p, k)-quasiposinormal operators is proved. As a consequence of this result, we obtain that the generalized derivation induced by these classes of operators is orthogonal to its kernel.
A. Bachir, M. Altanji
semanticscholar   +1 more source

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