Results 21 to 30 of about 12,035 (258)

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

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

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

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

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

Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

open access: yesJournal of Applied Mathematics, 2013
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
doaj   +1 more source

Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

open access: yesمجلة بغداد للعلوم, 2021
The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts.
Raghad I. Sabri
doaj   +1 more source

Compact differences of weighted composition operators on the weighted Bergman spaces

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
doaj   +1 more source

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

open access: yesFEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva   +5 more
wiley   +1 more source

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