Results 31 to 40 of about 431 (69)

The single equality $A^{*n}A^n = (A^*A)^n$ does not imply the quasinormality of weighted shifts on rootless directed trees

open access: yes, 2015
It is proved that each bounded injective bilateral weighted shift $W$ satisfying the equality $W^{*n}W^{n}=(W^{*}W)^{n}$ for some integer $n\geq 2$ is quasinormal. For any integer $n\geq 2$, an example of a bounded non-quasinormal weighted shift $A$ on a
Pietrzycki, Paweł
core   +1 more source

Hyponormal Toeplitz operators with polynomial symbols on weighted Bergman spaces

open access: yes, 2014
In this note we consider the hyponormality of Toeplitz operators Tφ on weighted Bergman space Aα2(D) with symbol in the class of functions f+g¯ with polynomials f and g.MSC:47B20, 47B35.
I. Hwang, Jongrak Lee, S. W. Park
semanticscholar   +1 more source

Spectra of subnormal pairs [PDF]

open access: yes, 2007
In this short note we present an example related to joint spectra of subnormal pairs of bounded operators. A counterexample to the equality between Taylor's spectrum and the closure of the defect spectrum is given. This example is related to the author's
Krzysztof Rudol
core  

Moments from their very truncations

open access: yes, 2007
It is known that positive definiteness is not enough for the multidimensional moment problem to be solved. We would like throw in to the garden of existing in this matter so far results one more, a result which takes into considerations the utmost ...
Szafraniec, F. H.
core   +1 more source

Complex symmetric weighted composition Lambert type operators on L^2(Σ)

open access: yes, 2018
In this paper we obtain the polar decomposition and the Aluthge transform of a weighted composition Lambert type operator MwEMuCφ on L2(Σ) . In addition, we study the complex symmetry of these types of operators induced by triple (w,u,φ) .
M. Jabbarzadeh, M. Moradi
semanticscholar   +1 more source

On ergodic operator means in Banach spaces

open access: yes, 2015
We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the
Aleman, Alexandru, Suciu, Laurian
core   +1 more source

Generalized Derivations and Norm Equality in Normed Ideals [PDF]

open access: yes, 2011
2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ...
Barraa, Mohamed
core  

A NOTE ON P-SYMMETRIC OPERATORS

open access: yes, 2016
Let L(H) denote the algebra of operators on a complex infinite dimensional Hilbert space H into itself. In this paper, we study the class of operators A ∈ L(H) which satisfy the following property, AT = TA implies AT ∗ = T ∗A for all T ∈ C1(H) (trace ...
S. Bouali   +3 more
semanticscholar   +1 more source

Propagation phenomena for mono-weakly hyponormal operator pairs

open access: yesOperators and Matrices, 2019
In this note, we strengthen some of flatness results for mono-polynomially hyponormal and mono-weakly 2-hyponormal 2-variable weighted shifts in [15, 16, 17]. Mathematics subject classification (2010): 47B20, 47B37, 47A13.
Yongjiang Duan, Shichan Pang, S. Y. Wang
semanticscholar   +1 more source

Bishop's property (β) for paranormal operators

open access: yes, 2009
For an operator T on a separable complex Hilbert space H , we say that T has Bishop’s property (β) if for any open subset D ⊂ C and any sequence of analytic functions fn : D →H such as ‖(T −z) fn(z)‖→ 0 as n→∞ uniformly on every compact subset K ⊂D ...
A. Uchiyama, K. Tanahashi
semanticscholar   +1 more source

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