Results 21 to 30 of about 5,764,210 (239)

A complete characterization of smoothness in the space of bounded linear operators [PDF]

open access: yesLinear and multilinear algebra, 2018
We completely characterize smoothness of bounded linear operators between infinite dimensional real normed linear spaces, probably for the very first time, by applying the concepts of Birkhoff-James orthogonality and semi-inner-products in normed linear ...
D. Sain, K. Paul, A. Mal, A. Ray
semanticscholar   +1 more source

Estimates for the differences of positive linear operators and their derivatives [PDF]

open access: yesNumerical Algorithms, 2018
The present paper deals with the estimate of the differences of certain positive linear operators and their derivatives. Oxur approach involves operators defined on bounded intervals, as Bernstein operators, Kantorovich operators, genuine Bernstein ...
A. Acu, I. Raşa
semanticscholar   +1 more source

Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces [PDF]

open access: yes, 2006
In this paper we derive structure theorems that characterize the spaces of linear and non-linear differential operators that preserve finite dimensional subspaces generated by polynomials in one or several variables.
Gomez-Ullate, David   +2 more
core   +4 more sources

Optical complex media as universal reconfigurable linear operators [PDF]

open access: yesOptica, 2018
Performing linear operations using optical devices is a crucial building block in many fields ranging from telecommunication to optical analogue computation and machine learning.
Maxime W. Matthès   +4 more
semanticscholar   +1 more source

Continuity of Linear Operators Commuting with Continuous Linear Operators [PDF]

open access: yesTransactions of the American Mathematical Society, 1967
1. Introduction. In [6] and [8] we showed that centralisers (that is operators commuting with multiplication) on certain Banach algebras are necessarily continuous. In the present paper we consider whether an operator on a Banach space commuting with a continuous or a closed operator must itself be continuous.
openaire   +2 more sources

Extremal Non-Compactness of Composition Operators with Linear Fractional Symbol [PDF]

open access: yes, 2005
We realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necessary and sufficient conditions on the symbol to exhibit extremal non ...
Basor, Estelle L., Retsek, Dylan Q.
core   +2 more sources

An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components [PDF]

open access: yesOpuscula Mathematica
Let \(A\) be a bounded linear operator in a complex separable Hilbert space, \(A^*\) be its adjoint one and \(A_I:=(A-A^*)/(2i)\). Assuming that \(A_I\) is a Hilbert-Schmidt operator, we investigate perturbations of the imaginary parts of the ...
Michael Gil'
doaj   +1 more source

Linear differential operators on contact manifolds [PDF]

open access: yes, 2012
We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus: noncommutative symbolic calculus, the principal symbol, and the ...
Charles H. Conley   +4 more
core   +3 more sources

Introducing supersymmetric frieze patterns and linear difference operators [PDF]

open access: yes, 2015
We introduce a supersymmetric analog of the classical Coxeter frieze patterns. Our approach is based on the relation with linear difference operators. We define supersymmetric analogs of linear difference operators called Hill's operators.
Morier-Genoud, Sophie   +2 more
core   +1 more source

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a ...
Yury Abakumov, Victor Banin
doaj   +1 more source

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