Results 1 to 10 of about 5,164,048 (315)
Dynamics of multivalued linear operators
Open Mathematics, 2017 We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan +3 more
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Interpolation Conditions for Linear Operators and Applications to Performance Estimation Problems [PDF]
SIAM Journal on Optimization, 2023 The Performance Estimation Problem methodology makes it possible to determine the exact worst-case performance of an optimization method. In this work, we generalize this framework to first-order methods involving linear operators.
Nizar Bousselmi +2 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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Linear operators with vector masks in digital image processing problems
Компьютерная оптика, 2023 The paper shows that it is expedient to use vector masks for solving some types of digital image processing problems. The main advantage of vector masks compared to matrix masks is that they reduce the computational complexity of algorithms while ...
A.I. Novikov, A.V. Pronkin
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Topological Algebra and its Applications, 2023 In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
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Recurrent Linear Operators [PDF]
Complex Analysis and Operator Theory, 2013 38 pages; final version, incorporates referee's report; to appear in Complex Anal.
Costakis, George +2 more
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The task of integral geometry with measure induction [PDF]
Компьютерные исследования и моделирование, 2011 A new statement of Integral Geometry problem where the image of function in each point is taken as an integral with respect to measure which depends on the point is suggested. Such Measure System is named Measure Induction.
A. V. Koganov
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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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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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