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Properties and for Bounded Linear Operators [PDF]

Journal of Mathematics, 2013
We shall consider properties which are related to Weyl type theorem for bounded linear operators , defined on a complex Banach space . These properties, that we call property , means that the set of all poles of the resolvent of of finite rank in the ...
M. H. M. Rashid
doaj   +5 more sources

A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces

Mathematics, 2021
This paper aims to study fuzzy order bounded linear operators between two fuzzy Riesz spaces. Two lattice operations are defined to make the set of all bounded linear operators as a fuzzy Riesz space when the codomain is fuzzy Dedekind complete.
Juan Luis García Guirao, Mobashir Iqbal, Zia Bashir, Tabasam Rashid   +3 more
doaj   +3 more sources

Exploring Bounded Linear Operators in Neutrosophic Normed Linear Spaces

Fuzzy Information and Engineering
This study focuses on analyzing the convergence of the product of sequences and investigating the Cauchy sequences under specific conditions within neutrosophic normed linear spaces (NNLS).
Chandan Chaurasiya, Ayaz Ahmad, Hari Shankar, Ayhan Esi   +3 more
doaj   +3 more sources

Bounded linear non-absolutely summing operators

Journal of Mathematical Analysis and Applications, 2008
Let \(E\) and \(F\) be Banach spaces. A subset \(M\) of \(E\) is said to be lineable if there exists an infinite-dimensional vector space \(V\subset M\cup\{0\}\). Let \(\Pi_{p}(E;F)\) and \(I_{p}(E;F)\) represent the vector spaces of all absolutely \(p\)-summing operators and \(p\)-integral operators from \(E\) to \(F\), respectively.
J B Seoane-Sepúlveda
exaly   +3 more sources

Some Results on Non-Archimedean Operators Theory [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we define the notions of semi-regular operator, analytical core, surjectivity modulus and the injectivity modulus of bounded linear operators on non-Archimedean Banach spaces over $\mathbb{K}.$ We give a necessary and sufficient condition ...
Jawad Ettayb
doaj   +1 more source

Generalized quadratic operators and perturbations [PDF]

Mathematica Bohemica, 2022
We provide a complete description of the perturbation class and the commuting perturbation class of all generalized quadratic bounded operators with respect to a given idempotent bounded operator in the context of complex Banach spaces.
Khalid Souilah
doaj   +1 more source

An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda, Santanu Ghosh, Tapas Samanta   +2 more
doaj   +1 more source

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

مجلة 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

Properties of Fuzzy Closed Linear Operator [PDF]

Engineering and Technology Journal, 2019
In this paper we recall the definition of fuzzy norm of a fuzzy bounded linear operator and the fuzzy convergence of sequence of fuzzy bounded linear operators in order to prove the uniform fuzzy bounded theorem and fuzzy open mapping theorem.
Jehad Kider, Noor Kadhum
doaj   +1 more source

λ-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices

Topological Algebra and its Applications, 2023
In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
doaj   +1 more source