Results 11 to 20 of about 5,164,048 (315)
Bounds for the Davis–Wielandt radius of bounded linear operators [PDF]
Annals of Functional Analysis, 2020 We obtain upper and lower bounds for the Davis–Wielandt radius of bounded linear operators defined on a complex Hilbert space, which improve on the existing ones. We also obtain bounds for the Davis–Wielandt radius of operator matrices.
Pintu Bhunia +3 more
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Linear Operator Equations [PDF]
Proceedings of the American Mathematical Society, 1959 where / is holomorphic on a(u, Ct) — a(v, Ct), and c is a suitable contour. In the present note we study the operator SG® defined by Sx = 'YJi=iuixvi, {ui} and {vj} being commutative subsets of Ct; but it is understood that {uj} need not commute with {vj}. In a generic way, we shall refer to such an operator as an "elementary operator."2 Of course this
Lumer, G., Rosenblum, M.
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On approximation properties of some non-positive Bernstein-Durrmeyer type operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
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Linear maps preserving $A$-unitary operators [PDF]
Mathematica Bohemica, 2016 Let $\mathcal{H}$ be a complex Hilbert space, $A$ a positive operator with closed range in $\mathscr{B}(\mathcal{H})$ and $\mathscr{B}_A(\mathcal{H})$ the sub-algebra of $\mathscr{B}(\mathcal{H})$ of all $A$-self-adjoint operators. Assume $\phi \mathscr{
Abdellatif Chahbi +2 more
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Factorization method for solving nonlocal boundary value problems in Banach space
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 This article deals with the factorization and solution of nonlocal boundary value problems in a Banach space of the abstract form B1 u = A u - S Φ( u )- G Ψ(A0 u) = f, u ∈ D (B1) , where A, A0 are linear abstract operators, S, G are vectors of functions,
I.N. Parasidis, E. Providas
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Hypercausal Linear Operators [PDF]
SIAM Journal on Control and Optimization, 1984 Several different classes of hypercausal operators appear in linear system theory. This paper provides, for each pair of classes of hypercausal operators, necessary and sufficient conditions on the Hilbert resolution space to guarantee equality of the classes. In addition, the effect of similarity transforms on each class is studied.
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A complete characterization of smoothness in the space of bounded linear operators [PDF]
Linear 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
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Estimates for the differences of positive linear operators and their derivatives [PDF]
Numerical 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
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Optical complex media as universal reconfigurable linear operators [PDF]
Optica, 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
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POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS
Transactions 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
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