Results 21 to 30 of about 218,978 (281)

On the quadratic Fock functor [PDF]

open access: yes, 2012
We prove that the quadratic second quantization of an operator p on $L^2(\mathbb{R}^d)\cap L^\infty (\mathbb{R}^d)$ is an orthogonal projection on the quadratic Fock space if and only if p =MI, where MI is a multiplication operator by a characteristic ...
Dhahri, Ameur
core   +2 more sources

Extrapolation of operator-valued multiplication operators [PDF]

open access: yesQuaestiones Mathematicae, 2021
We discuss $\mathrm{L}^p$ fiber spaces which appear, e.g., as extrapolation spaces of unbounded multiplication operators which in turn are motivated, for instance, by non-autonomous evolution equations.
Budde, Christian, Heymann, Retha
openaire   +2 more sources

On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions [PDF]

open access: yes, 2014
In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical selfadjoint extensions of the multiplication operator as a family of rank-one perturbations ...
Silva, Luis O., Toloza, Julio H.
core   +2 more sources

On Some Properties of Cowen-Douglas Class of Operators

open access: yesJournal of Function Spaces, 2018
We will consider multiplication operators on a Hilbert space of analytic functions on a domain Ω⊂C. For a bounded analytic function φ on Ω, we will give necessary and sufficient conditions under which the complement of the essential spectrum of Mφ in φΩ ...
Parastoo Heiatian Naeini   +1 more
doaj   +1 more source

Multiplication Operator with BMO Symbols and Berezin Transform

open access: yesJournal of Function Spaces, 2015
We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng   +4 more
doaj   +1 more source

Composition and multiplication operators between Orlicz function spaces

open access: yesJournal of Inequalities and Applications, 2016
Composition operators and multiplication operators between two Orlicz function spaces are investigated. First, necessary and sufficient conditions for their continuity are presented in several forms.
Tadeusz Chawziuk   +4 more
doaj   +1 more source

Integral representation of vertical operators on the Bergman space over the upper half-plane

open access: yesComptes Rendus. Mathématique, 2023
Let $\Pi $ denote the upper half-plane. In this article, we prove that every vertical operator on the Bergman space $\mathcal{A}^2(\Pi )$ over the upper half-plane can be uniquely represented as an integral operator of the form \begin{equation*} \left ...
Bais, Shubham R.   +2 more
doaj   +1 more source

Multiplication operators on the space of functions of bounded variation

open access: yesDemonstratio Mathematica, 2017
In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R.   +1 more
doaj   +1 more source

On (P*-N) quasi normal operators Of order "n" In Hilbert space

open access: yesAl-Mustansiriyah Journal of Science, 2021
Through this paper, we submitted  some types of quasi normal operator is called be (k*-N)- quasi normal operator of order n defined on a Hilbert space H, this concept is generalized of some kinds of  quasi normal operator appear recently form most ...
Salim Dawood M., Jaafer Hmood Eidi
doaj   +1 more source

Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure

open access: yesMathematics, 2023
We consider an operator of multiplication by a complex-valued potential in L2(R), to which we add a convolution operator multiplied by a small parameter. The convolution kernel is supposed to be an element of L1(R), while the potential is a Fourier image
D. I. Borisov   +2 more
doaj   +1 more source

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