Non-weakly supercyclic weighted composition operators.
Notes on unbounded Toeplitz operators in Segal-Bargmann spaces
Relations between different extensions of Toeplitz operators are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.
Numerical Computation of Least Constants for the Sobolev Inequality.
On a class of Banach spaces of analytic functions.
On a weighted Toeplitz operator and its commutant.
On convexity of composition and multiplication operators on weighted Hardy spaces.
On cyclicity in weighted Dirichlet spaces.
On Hadamard-Dirichlet algebras.
On multipliers of temperate distributions
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
On the dependence of the orthogonal projector on deformations of the scalar product
We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.
On the Forelli-Rudin construction and weighted Bergman projections
Optimal Sampling of Holomorphic Fuctions. II.
Orthogonal Trigonometric Schauder Bases of Optimal Degree for C(K).
Partial inner product spaces of entire functions
Polynominal approximation in certain weighted Hilbert spaces of entire functions.
Positive Definite Kernels on the Complex Hilbert Sphere.
Principe d'incertitude, bases hilbertiennes et algèbres d'opérateurs
Radial limits in co-invariant subspaces
Reducibility and unitary equivalence for a class of multiplication operators on the Dirichlet space
We consider the reducibility and unitary equivalence of multiplication operators on the Dirichlet space. We first characterize reducibility of a multiplication operator induced by a finite Blaschke product and, as an application, we show that a multiplication operator induced by a Blaschke product with two zeros is reducible only in an obvious case. Also, we prove that a multiplication operator induced by a multiplier ϕ is unitarily equivalent to a weighted shift of multiplicity 2 if and only if...