Search
Search Results
-
Composition operators with closed range on the Dirichlet space
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Nevanlinna counting function induces a...
-
Closed Range Integral Operators on Fock Spaces
We study the closed range problem for generalized Volterra-type integral operators on Fock spaces. We first answer the problem using the notions of...
-
Closed range Volterra-type integral operators and dynamical sampling
We solve the closed range problem for Volterra-type integral operator on Fock spaces. Several applications of the result related to the operators...
-
Similarities between the numerical range of an operator and of certain generalized inverses
This paper is concerned with different properties of the numerical range for a bounded linear operator from the point of view of its similarities to...
-
On Wold Type Decomposition for Closed Range Operators
This survey aims to give a brief introduction to Wold-type decomposition for some closed range operators satisfying some operator inequalities. As a...
-
Which set is the numerical range of an operator?
In this survey paper, we consider the problem of which nonempty bounded convex subset of the complex plane is the numerical range of some bounded...
-
Invariance of the essential spectra of closed linear operator pencils on a Banach space
In this paper, we detail some results of the essential spectra of closed linear operators pencils defined on a Banach space X . This is done by...
-
Closed Range Composition Operators on BMOA
We employ a new reverse Carleson type condition and define a new sampling condition to study closed range composition operators on BMOA . We provide...
-
Weighted composition operator on Gamma spaces with variable exponent
In a self contained presentation we discuss the Gamma functions spaces with variable exponent. As an application we investigate the boundedness,...
-
On the condition number of the finite element method for the Laplace–Beltrami operator
We give an upper bound for the condition number of the finite element operator for the Laplace-Beltrami operator on closed surfaces immersed in
... 
-
Operator ranges and endomorphisms with a prescribed behaviour on Banach spaces
We obtain several extensions of a theorem of Shevchik which asserts that if R is a proper dense operator range in a separable Banach space E , then...
-
A Continuity Result for the Adjusted Normal Cone Operator
The concept of adjusted sublevel set for a quasiconvex function was introduced by Aussel and Hadjisavvas who proved the local existence of a...
-
A Note About Numerical Range of Some Volterra Polynomials
Let V be the classical Volterra operator, and let S be the operator of multiplication by an exponential function on L 2 (0, 1). We introduce the...
-
Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces
We introduce the dual-Hilbert space and study the basic properties of a dual operator and its generalized inverse on this space. We provide upper...
-
The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State
We consider the energy operator of six-electron systems in the Hubbard model and study the structure of the essential spectrum and the discrete...
-
Operator Theory
This section provides a very brief and quick review of the basics of Hilbert space theory and functional analysis that are needed for this text. We...