Multiplication from other operations [PDF]
Given the operations of subtraction and reciprocaltaking we show that the operation of multiplication is determined in any field. The amusing difference is that for characteristic 2 it is not given by a formula while for other characteristics, it is. The identity xy = ((x + y 2)-1 (x + y + 2)1)-' ((x-y-2)-1(x-y+ 2)y )' shows how multiplication of real ...
Donald J. Newman, S. Kohn
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Composition and multiplication operators between Orlicz function spaces
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
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Multiplication Operator with BMO Symbols and Berezin Transform
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
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Multiplication operators on the space of functions of bounded variation
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
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Integral representation of vertical operators on the Bergman space over the upper half-plane
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
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On (P*-N) quasi normal operators Of order "n" In Hilbert space
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
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Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure
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
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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A characterization of multiplication operators on reproducing kernel Hilbert spaces [PDF]
In this note, we prove that an operator between reproducing kernel Hilbert spaces is a multiplication operator if and only if it leaves invariant zero sets. To be more precise, it is shown that an operator T between reproducing kernel Hilbert spaces is a
Barbian, Christoph
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Resolvent Positive Linear Operators Exhibit the Reduction Phenomenon [PDF]
The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Cantrell+15 more
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