Results 41 to 50 of about 431 (69)

The compressions of the weighted conditional expectation operators

Operators and Matrices, 2019
A C-E type Toeplitz operator TE u is the compression of a weighted conditional expectation operator EMu to the Bergman space La . This study focuses on bounded C-E type Toeplitz operators. Several properties of such operators are obtained, in particular,
M. Jabbarzadeh, Z. Shakeri
semanticscholar   +1 more source

Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
doaj   +1 more source

On quasi-∗-n-paranormal operators

, 2015
For a positive integer n , an operator T ∈ B(H) is called quasi-∗ -n -paranormal if ||T 2+nx|| 1 1+n ||Tx|| n 1+n ||T ∗Tx|| for every x∈H , which is a further generalization of hyponormal and a subclass of normaloid.
Fei Zuo
semanticscholar   +1 more source

On intertwining and w-hyponormal operators [PDF]

, 2005
Given \(A, B\in B(H)\), the algebra of operators on a Hilbert Space \(H\), define \(\delta_{A,B}: B(H) \to B(H)\) and \(\Delta_{A,B}: B(H) \to B(H)\) by \(\delta_{A,B}(X)=AX-XB\) and \(\Delta_{A,B}(X)=AXB-X\). In this note, our task is a twofold one.
M. O. Otieno
core  

A note on k-paranormal operators

, 2010
It is still unknown whether the inverse of an invertible k -paranormal operator is normaloid, and so whether a k -paranormal operator is totally hereditarily normaloid.
C. Kubrusly, B. Duggal
semanticscholar   +1 more source

Hyponormality of Toeplitz operators with polynomial symbols on the vector valued Bergman space

, 2018
We arrive at a necessary condition and a sufficient condition for the hyponormal block Toeplitz operator TF+G∗ on the vector valued Bergman space La(D,C n) , where F and G are matrix valued analytic polynomials.
P. Cui, Yufeng Lu, Yanyue Shi
semanticscholar   +1 more source

Some inequalities for $(\alpha, \beta)$-normal operators in Hilbert spaces

, 2008
An operator $T$ acting on a Hilbert space is called $(\alpha ,\beta)$-normal ($0\leq \alpha \leq 1\leq \beta $) if \begin{equation*} \alpha ^{2}T^{\ast }T\leq TT^{\ast}\leq \beta ^{2}T^{\ast}T.
Dragomir, Sever S., Moslehian, Mohammad Sal   +1 more
core  

Jointly hyponormal block Toeplitz pairs with rational symbols

, 2018
In this paper, we are concerned with joint hyponormality of pairs of block Toeplitz operators acting on the vector-valued Hardy space H2 Cn of the unit circle.
I. Hwang, An-Hyun Kim
semanticscholar   +1 more source

Hyponormality of finite rank perturbations of normal operators

, 2018
Let T be an arbitrary finite rank perturbation of a normal operator N acting on a separable, infinite dimensional, complex Hilbert space H . It is proved that the hyponormality and normality of T are equivalent.
I. Jung, Eun-young Lee, M. Seo
semanticscholar   +1 more source

NOTE ON SOME OPERATOR EQUATIONS AND LOCAL SPECTRAL PROPERTIES

, 2016
In this paper we define Sk, j by the set of solutions (A,B) of the operator equations AkBj+1Ak = A2k+ j and BkAj+1Bk = B2k+ j . Then we observe the set Sk, j is increasing for all integers k 1 and j 0 .
I. An, Eungil Ko
semanticscholar   +1 more source