Results 41 to 50 of about 2,232,899 (337)

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

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 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

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

Approximating compact and weakly compact operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
REMARKS. To place the theorem in context consider all operators as mapping the Banach space X into the Banach space Y and consider the topology a to be that of almost uniform convergence on the unit ball of X utilizing the norm topology on Y. The second theorem gives a similar result for weakly compact operators.
openaire   +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

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

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

Hausdorff operators on homogeneous spaces of locally compact groups

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
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
doaj   +1 more source

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