Results 21 to 30 of about 12,960 (264)

The Gâteaux derivative and orthogonality in C∞

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
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
doaj   +1 more source

The Bidual of the Compact Operators [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
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.
openaire   +2 more sources

An extension of compact operators by compact operators with no nontrivial multipliers [PDF]

open access: yesJournal of Noncommutative Geometry, 2018
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.
openaire   +3 more sources

Smooth, Compact Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1979
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
openaire   +1 more source

Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary

open access: yesAdvances in Mathematical Physics, 2020
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
doaj   +1 more source

On the Lattice Properties of Almost L-Weakly and Almost M-Weakly Compact Operators

open access: yesJournal of Function Spaces, 2021
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
doaj   +1 more source

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators

open access: yesAbstract and Applied Analysis, 2007
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
doaj   +1 more source

Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences

open access: yesJournal of Function Spaces, 2020
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
doaj   +1 more source

Operators $\alpha $-commuting with a compact operator [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
Summary: We update a question raised by Pearcy and Shields ('74) concerning the invariant subspace problem on Hilbert spaces.
openaire   +2 more sources

Applications for Unbounded Convergences in Banach Lattices

open access: yesFractal and Fractional, 2022
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
doaj   +1 more source

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