Results 31 to 40 of about 446 (70)

Cohyponormal operators with the single valued extension property

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 659-663, 1986., 1986
It is proved that in order to find a nontrivial hyperinvariant subspace for a cohyponormal operator it suffices to make the further assumption that the operator have the single‐valued extension property.
Ridgley Lange, Shengwang Wang
wiley   +1 more source

Absolute continuity and hyponormal operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 321-335, 1981., 1981
Let T be a completely hyponormal operator, with the rectangular representation T = A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T = UP, with U unitary. It is known that A, B and U are all absolutely continuous operators.
C. R. Putnam
wiley   +1 more source

Bishop's property (β), hypercyclicity and hyperinvariant subspaces

open access: yes, 2014
The question whether every operator on H has an hyperinvariant subspace is one of the most difficult problems in operator theory. The purpose of this paper is to make a beginning on the hyperinvariant subspace problems for another class of operators ...
S. Mécheri
semanticscholar   +1 more source

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

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

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 on the weighted Bergman spaces

open access: yes, 2012
In this note we consider the hyponormality of Toeplitz operators Tφ on the Weighted Bergman space Aα(D) with symbol in the class of functions f + g with polynomials f and g of degree 2. Mathematics subject classification (2010): 47B20, 47B35.
I. Hwang, Jongrak Lee
semanticscholar   +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

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  

On k-quasi-M-hyponormal operators

open access: yes, 2013
In this present article we introduce a new class of operators which we will be called the class of k -quasi-M -hyponormal operators that includes hyponormal an M -hyponormal operators.
S. Mécheri
semanticscholar   +1 more source

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