Results 31 to 40 of about 2,160,130 (367)

Continuous linear operators on Orlicz-Bochner spaces

open access: yesOpen Mathematics, 2019
Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
doaj   +1 more source

On sums of narrow and compact operators

open access: yesPositivity (Dordrecht), 2019
We prove, in particular, that if E is a Dedekind complete atomless Riesz space and X is a Banach space then the sum of a narrow and a C-compact laterally continuous orthogonally additive operators from E to X is narrow.
O. Fotiy   +3 more
semanticscholar   +1 more source

A property of compact operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1984
The present paper is inspired by the work of \textit{V. F. Babenko} and \textit{S. A. Pichugov} [Ukr. Mat. Zh. 33, 491-492 (1981; Zbl 0492.47018)] and that of \textit{I. K. Daugavet} [Usp. Mat. Nauk. 18, No.5(113), 157-158 (1963; Zbl 0138.386)]. They proved that if T is any compact linear operator on either of the Banach spaces \(L^ 1(0,1)\) or C[0,1],
openaire   +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 version for compact operators of Lindenstrauss properties A and B [PDF]

open access: yes, 2015
It has been very recently discovered that there are compact linear operators between Banach spaces which cannot be approximated by norm attaining operators.
Miguel Martín
semanticscholar   +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   +3 more sources

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

Nonlinear eigenvalue approximation for compact operators [PDF]

open access: yes, 2014
In the work of Osborn [Math. Comput. 29, 712–725 (1975)], a general spectral approximation theory was developed for compact operators on a Banach space which does not require that the operators be self-adjoint and also provides a first order correction ...
Shari Moskow
semanticscholar   +1 more source

Approximations of set-valued functions based on the metric average [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2006
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
doaj  

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

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