Results 21 to 30 of about 6,008 (260)

2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces

Abstract and Applied Analysis, 2014
Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, if X is approximately compact and X is 2-strictly convex, then metric generalized inverses of ...
Shaoqiang Shang, Yunan Cui
doaj   +1 more source

Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

Journal of Function Spaces, 2014
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
doaj   +1 more source

Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
doaj   +1 more source

Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence

Abstract and Applied Analysis, 2014
The aim of this paper is to give the sufficient conditions on the sequence space Cesθ,p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear ...
Awad A. Bakery
doaj   +1 more source

A characterization of operators via Berezin symbol and related questions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
doaj   +1 more source

A note on preservation of spectra for two given operators [PDF]

Mathematica Bohemica, 2020
We study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space.
Carlos Carpintero, Alexander Gutiérrez, Ennis Rosas, José Sanabria   +3 more
doaj   +1 more source

On the Structure of Certain Bounded Linear Operators [PDF]

Proceedings of the American Mathematical Society, 1975
If every function f f in the range of a bounded linear operator on
openaire   +1 more source

The rate of convergence of bounded linear processes on spaces of continuous functions

Journal of Numerical Analysis and Approximation Theory, 2023
Quantitative Korovkin-type theorems for approximation by bounded linear operators defined on \(C(X,d)\) are given, where \((X,d)\) is a compact metric space. Special emphasis is on positive linear operators.
Heiner Gonska
doaj   +1 more source

Condition pseudospectrum in non-Archimedean Banach spaces [PDF]

Journal of Mahani Mathematical Research
In this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean ...
Jawad Ettayb
doaj   +1 more source

The Singular Value Expansion for Arbitrary Bounded Linear Operators

Mathematics, 2020
The singular value decomposition (SVD) is a basic tool for analyzing matrices. Regarding a general matrix as defining a linear operator and choosing appropriate orthonormal bases for the domain and co-domain allows the operator to be represented as ...
Daniel K. Crane, Mark S. Gockenbach
doaj   +1 more source