Results 101 to 108 of about 455 (108)

How and Why to Solve the Operator Equation AX−XB = Y

, 1997
The entities A, B, X, Y in the title are operators, by which we mean either linear transformations on a finite‐dimensional vector space (matrices) or bounded (= continuous) linear transformations on a Banach space.
R. Bhatia, P. Rosenthal
semanticscholar   +1 more source

Nonlinear anti-commuting maps of unital algebras with idempotents

International Mathematical Forum, 2019
Let A be a unital algebra with a nontrivial idempotent e1. A map φ : A → A is anti-commuting if [φ(a), b] = −[a, φ(b)] holds for all a, b ∈ A. In this paper, we give a general form of φ on A; particularly, if A is prime, then such maps are either central-
Liqin Feng, X. Qi
semanticscholar   +1 more source

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

Some range-kernel orthogonality results for generalized derivation

, 2018
In this paper, some range-kernel orthogonality results to p-w-hyponormal operators and (Y) or dominant operators are given, also we will generalize some commutativity results.
A. Bachir, Nadiah Zafer Al-shehri
semanticscholar   +1 more source

Commutators of almost normal operators that have trace zero

, 2015
Kittaneh [1] extended a result of G. Weiss concerning commutators of trace zero. In this note we show that the operators that Kittaneh proved to satisfy such an extension are almost normal operators that satisfy a conjecture of Voiculescu.
Vasile Lauric
semanticscholar   +1 more source

Jordan form of a generalized derivation and elementary operators

, 2015
Let B (E,F ) be the algebra of linear maps from the complex vector space E to the complex vector space F , δA,B : B (E,F ) −→ B (E,F ) denote the generalized derivation δA,B (X) = AX−XB and R(A,C),(B,D) : B (E,F ) −→ B (E,F ) denote the elemantary ...
T. Abdelatif
semanticscholar   +1 more source

An extension of Fuglede-Putnam theorem for certain posinormal operators

, 2013
An asymmetric Fuglede-Putnam Theorem for certain posinormal operators is proved. As a consequence of this result, we obtain that the range of the generalized derivation induced by these classes of operators is orthogonal to its kernel.
A. Bachir
semanticscholar   +1 more source

Study of classes of operators where the distance of the identity operator and the derivation range is maximal or minimal

, 2014
The main objective of this paper is to give more informations about classes of operators for which the distance of the identity operator and the derivation range is minimal(noted JA(H)), or maximal(noted F(H)).
Messaoudene Hadia
semanticscholar   +1 more source