On the Wold-type decomposition of a pair of commuting isometries
On the class operators.
On Theorems of de Pagter and Ando-Krieger.
On Toeplitz operators associated with strongly pseudoconvex domains
On totally -paranormal operators
In this paper we study some properties of a totally -paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally -paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally -paranormal operators through the local spectral theory. Finally, we show that every totally -paranormal operator satisfies an analogue of the single valued extension property for and some of totally -paranormal operators have scalar extensions....
On triangularization of algebras of operators.
On truncations of Hankel and Toeplitz operators.
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes.
On two classes of weighted shifts.
On two questions of I. Colojoara and C. Foias.
On typical Markov operators acting on Borel measures.
On unbounded hyponormal operators III
The paper deals mostly with spectral properties of unbounded hyponormal operators. Some nontrivial examples of such operators are given.
On uniformly smoothing stochastic operators
We show that a stochastic operator acting on the Banach lattice of all -integrable functions on is quasi-compact if and only if it is uniformly smoothing (see the definition below).
On Unitary Operators Inducing Measure-Preserving Transformations.
On Volterra composition operators from Bergman-type space to Bloch-type space
Let be an analytic self-mapping of and an analytic function on . In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols and .
On weak (r,2)-summing operators and weak Hilbert spaces
On weak restricted estimates and endpoints problems for convolutions with oscillating kernels (II)
On weak supercyclicity II
This paper considers weak supercyclicity for bounded linear operators on a normed space. On the one hand, weak supercyclicity is investigated for classes of Hilbert-space operators: (i) self-adjoint operators are not weakly supercyclic, (ii) diagonalizable operators are not weakly -sequentially supercyclic, and (iii) weak -sequential supercyclicity is preserved between a unitary operator and its adjoint. On the other hand, weak supercyclicity is investigated for classes of normed-space operators:...
On weakly compact operators.
On weakly compact operators from some uniform algebras
On Weakly Compact Operators on C*-Algebras.