Search
Search Results
-
Complex Symmetry of Toeplitz Operators over the Bidisk
In this paper, we investigate the complex symmetric structure of Toeplitz operators T ϕ on the Hardy space over the bidisk. We first characterize the...
-
Representation of a Class of Linear Operators with Coupled Domain in a Product Space and Its Applications
This paper is concerned with the representation problem of a coupled operator in a product space. A necessary and sufficient condition is given for a...
-
Reducibility for a Class of Analytic Multipliers on Sobolev Disk Algebra
We prove the reducibility of analytic multipliers M ϕ with a class of finite Blaschke products symbol ϕ on the Sobolev disk algebra R (ⅅ). We also...
-
On power bounded operators with holomorphic eigenvectors. II
In [U] (among other results), M. Uchiyama gave necessary and sufficient conditions for contractions to be similar to the unilateral shift S of...
-
Co-Toeplitz Quantization: A Simple Case
The author has introduced in a recent paper a new class of operators, called co-Toeplitz operators, with symbols in a co-algebra. This is the...
-
Linear operators and conjugations on a Banach space
In this paper we study a conjugation on a Banach space X and show properties of operators concerning conjugation C and show spectral properties of...
-
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
We prove that the class of Banach spaces Y such that the pair (ℓ 1 , Y ) has the Bishop-Phelps-Bollobás property for operators is stable under finite...
-
On \(\varvec{(m,C)}\)-Isometric Commuting Tuples of Operators on a Hilbert Space
Inspired by recent works on ( m , C )-isometric and [ m , C ]-isometric operators on Hilbert spaces studied respectively in Chō et al. (Complex Anal. Oper....
-
On power bounded operators with holomorphic eigenvectors
In [17], M. Uchiyama gave necessary and sufficient conditions for contractions to be quasiaffine transforms, quasisimilar, or similar to unilateral...
-
Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces
We prove that if T is an m -isometry on a Hilbert space and b ( z ) is an inner function, then b ( T ) is also an m -isometry. This work is motivated by...
-
Arithmetic Progressions and Its Applications to (m, q)-Isometries: A Survey
In this paper we collect some results about arithmetic progressions of higher order, also called polynomial sequences. Those results are applied to ( m ...
-
Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides
The proof of norm resolvent convergence of Dirichlet Laplacian to effective operators, as the diameter of spatial waveguides vanishes, is extended to...
-
Hypercyclicity for the Elements of the Commutant of an Operator
Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T ...
-
Which Weighted Composition Operators are Complex Symmetric?
Recent work by several authors has revealed the existence of many unexpected classes of normal weighted composition operators. On the other hand, it...
-
C*-algebras Generated by Truncated Toeplitz Operators
We obtain an analogue of Coburn’s description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide...