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Spectrum of a family of operators [PDF]

open access: yesSurveys in Mathematics and its Applications, 2011
Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
doaj   +3 more sources

Bornological Soft Sets [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2023
The concept of bounded set within this set or space is given by many authors. A bornology is defined on soft set to solve the problems of boundedness for the soft set.
Anwar Imran   +3 more
doaj   +1 more source

Bounded Sets in Topological Spaces

open access: yesAxioms, 2022
Let G be a monoid that acts on a topological space X by homeomorphisms such that there is a point x0∈X with GU=X for each neighbourhood U of x0. A subset A of X is said to be G-bounded if for each neighbourhood U of x0 there is a finite subset F of G ...
Cristina Bors   +2 more
doaj   +1 more source

Bounded variation of functions defined on a convex and compact set in the plane

open access: yesArab Journal of Basic and Applied Sciences, 2023
In this paper, the variation of functions has been defined, whose domain is a convex and compact set in the plane. Furthermore, in addition to presenting properties that satisfy this variation, the vector space formed by functions with finite variation ...
Mireya Bracamonte, Juan Tutasi
doaj   +1 more source

Irreversible 2-conversion set in graphs of bounded degree [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
An irreversible $k$-threshold process (also a $k$-neighbor bootstrap percolation) is a dynamic process on a graph where vertices change color from white to black if they have at least $k$ black neighbors. An irreversible $k$-conversion set of a graph $G$
Jan Kynčl   +2 more
doaj   +1 more source

The set of forms with bounded strength is not closed

open access: yesComptes Rendus. Mathématique, 2022
The strength of a homogeneous polynomial (or form) is the smallest length of an additive decomposition expressing it whose summands are reducible forms. Using polynomial functors, we show that the set of forms with bounded strength is not always Zariski ...
Ballico, Edoardo   +3 more
doaj   +1 more source

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

open access: yesSahand 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   +2 more
doaj   +1 more source

Latency-Bounded Target Set Selection in Signed Networks

open access: yesAlgorithms, 2020
It is well-documented that social networks play a considerable role in information spreading. The dynamic processes governing the diffusion of information have been studied in many fields, including epidemiology, sociology, economics, and computer ...
Miriam Di Ianni, Giovanna Varricchio
doaj   +1 more source

Fuzzy Closed Filters in Bounded BE-Algebras

open access: yesApplied Artificial Intelligence, 2022
In this paper we use the method of fuzzification of crisp set to fuzzy set as extension of crisp set to fuzzy set. In particular the concepts of fuzzy closed filters of a bounded BE-algebra are introduced; and also some related properties are ...
Gerima Tefera, Mohammed Adem
doaj   +1 more source

Representations of bornologies

open access: yesApplied General Topology, 2022
Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
doaj   +1 more source

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