Results 21 to 30 of about 3,477,811 (272)

Complexity of Linear Operators

open access: yesElectron. Colloquium Comput. Complex., 2018
Let $A \in \{0,1\}^{n \times n}$ be a matrix with $z$ zeroes and $u$ ones and $x$ be an $n$-dimensional vector of formal variables over a semigroup $(S, \circ)$. How many semigroup operations are required to compute the linear operator $Ax$? As we observe in this paper, this problem contains as a special case the well-known range queries problem and ...
Alexander S. Kulikov   +3 more
openaire   +5 more sources

Compressive identification of linear operators [PDF]

open access: yes2011 IEEE International Symposium on Information Theory Proceedings, 2011
To be presented at IEEE Int. Symp. Inf.
Reinhard Heckel, Helmut Bölcskei
openaire   +3 more sources

Unbounded B-Fredholm operators on Hilbert spaces [PDF]

open access: yes, 2008
This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators.
Berkani, M.   +3 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

Vector inequalities for powers of some operators in Hilbert spaces [PDF]

open access: yes, 2008
Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S, S.S. Dragomir
core   +5 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

Pareto vectors of continuous linear operators

open access: yesJournal of Inequalities and Applications, 2023
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology.
Francisco Javier García-Pacheco
doaj   +1 more source

Continuous-Like Linear Operators on Bilinear Spaces

open access: yesJournal of Mathematical and Fundamental Sciences, 2020
This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah   +2 more
doaj   +1 more source

Singularly perturbed rank one linear operators

open access: yesМатематичні Студії, 2021
The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
doaj   +1 more source

Extension of linear operators with applications

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
The article presents a method for solving characteristic singular integral equations perturbed with compact operators. The method consists in reducing the solution of these equations to the solution of the systems of singular (unperturbed) equations ...
Vasile Neagu, Diana Bîclea
doaj   +1 more source

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