Results 21 to 30 of about 5,196 (246)
The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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Lipschitz compact operators [PDF]
We introduce the notion of Lipschitz compact (weakly compact, finite-rank, approximable) operators from a pointed metric space X into a Banach space E. We prove that every strongly Lipschitz p-nuclear operator is Lipschitz compact and every strongly Lipschitz p-integral operator is Lipschitz weakly compact. A theory of Lipschitz compact (weakly compact,
Jiménez Vargas, Antonio +2 more
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Approximations of set-valued functions based on the metric average [PDF]
This paper investigates the approximation of set-valued functions with compact images (not necessarily convex), by adaptations of the Schoenberg spline operators and the Bernstein polynomial operators.
Alona Mokhov, Nira Dyn
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The Gâteaux derivative and orthogonality in C∞
The general problem in this paper is minimizing the C∞− norm of suitable affine mappings from B(H) to C∞, using convex and differential analysis (Gateaux derivative) as well as input from operator theory.
Mecheri Salah, Mecheri Hacene
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Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary
In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary.
Sining Wei, Yong Wang
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Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu +3 more
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Hausdorff operators on homogeneous spaces of locally compact groups
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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Applications for Unbounded Convergences in Banach Lattices
Several recent papers investigated unbounded convergences in Banach lattices. The focus of this paper is to apply the results of unbounded convergence to the classical Banach lattice theory from a new perspective.
Zhangjun Wang, Zili Chen
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Dynamics of a Compact Operator [PDF]
Let be a compact linear (or more generally affine) operator from a Banach space into itself. For each , the sequence of iterates , , 1, and its averages , 1, are either bounded or approach infinity.
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Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach’s spaces are discussed through the paper.
M. De la Sen
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