Results 11 to 20 of about 6,185,996 (263)
A complete characterization of smoothness in the space of bounded linear operators [PDF]
Linear Multilinear Algebra 68 (2020) no.12, 2484-2494, 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 +2 more sources
Orthogonality of bounded linear operators on complex Banach spaces [PDF]
, 2017 We study Birkhoff-James orthogonality of bounded linear operators on complex Banach spaces and obtain a complete characterization of the same. By means of introducing new definitions, we illustrate that it is possible in the complex case, to develop a ...
Mal, Arpita +3 more
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Convergence Rates for Learning Linear Operators from Noisy Data [PDF]
SIAM/ASA J. Uncertain. Quantification, 2021 This paper studies the learning of linear operators between infinite-dimensional Hilbert spaces. The training data comprises pairs of random input vectors in a Hilbert space and their noisy images under an unknown self-adjoint linear operator.
M. Hoop +3 more
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Simple eigenvectors of unbounded operators of the type “normal plus compact” [PDF]
Opuscula Mathematica, 2015 The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent.
Michael Gil'
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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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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
semanticscholar +1 more source
The approximation of linear operators [PDF]
Transactions of the American Mathematical Society, 1971 Let L(E, F) be the vector space of all linear maps of E into F. Consider a subspace G of L(E, F) such as all continuous maps. In G distinguish a subspace H of maps which are to be approximated by members of a smaller subspace N of G. Thus we always have N^H^G^L^E, F).
J. W. Brace, P. J. Richetta
openaire +2 more sources
Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs
Mathematics, 2023 In this work, we study a linear operator f on a pre-Euclidean space V by using properties of a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonal direct sum of certain linear subspaces {Ui}i∈I, each one admitting ...
Hani Abdelwahab +3 more
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Fuzzy strong $φ$-b-normed linear space for fuzzy bounded linear operators [PDF]
, 2022 In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong $\phi$-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of BF(X,Y) is established.
arxiv +1 more source
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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