Results 21 to 30 of about 12,960 (264)
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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The Bidual of the Compact Operators [PDF]
For a Banach space X, let \(X^*\) be the dual, B(X) the Banach algebra of bounded linear operators, and \(B_ F(X)\), \(B_ K(X)\) and \(B_ I(K)\) the ideals of finite rank, compact, and integrable operators, respectivly. \textit{A. Grothendieck} [Mem. Am. Math. Soc. 16, 140 p.
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An extension of compact operators by compact operators with no nontrivial multipliers [PDF]
We construct a noncommutative, separably represented, type I and approximately finite dimensional C^* -algebra such that its multiplier algebra is equal to its unitization. This algebra is an essential extension of the algebra
Ghasemi, S. (Saeed), Koszmider, P.
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Smooth, Compact Operators [PDF]
It is a result of Holub’s [Math. Ann. 201 (1973), 157-163], that for T a compact operator on a real Hilbert space, T is smooth
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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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On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators
We establish the domination property and some lattice approximation properties for almost L-weakly and almost M-weakly compact operators. Then, we consider the linear span of positive almost L-weakly (resp., almost M-weakly) compact operators and give ...
Barış Akay, Ömer Gök
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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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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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Operators $\alpha $-commuting with a compact operator [PDF]
Summary: We update a question raised by Pearcy and Shields ('74) concerning the invariant subspace problem on Hilbert spaces.
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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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