نتایج جستجو برای: weakly compact linear operator

تعداد نتایج: 683911  

Journal: :Journal of Functional Analysis 2014

Journal: :bulletin of the iranian mathematical society 0
m. fakhar department of mathematics‎, ‎university of isfahan‎, ‎isfahan 81745--163‎, ‎iran‎, ‎and‎, ‎school of mathematics‎, ‎institute for research in fundamental sciences (ipm)‎, ‎p.o‎. ‎box: ‎19395--5746‎, ‎tehran‎, ‎iran. m. r. koushesh department of mathematical sciences‎, ‎isfahan university of technology‎, ‎isfahan 84156--83111‎, ‎iran‎, ‎and‎, ‎school of mathematics‎, ‎institute for research in fundamental sciences (ipm)‎, ‎p.o‎. ‎box‎: ‎19395--5746‎, ‎tehran‎, ‎iran. m. raoofi department of mathematical sciences‎, ‎isfahan university of technology‎, ‎isfahan 84156--83111‎, ‎iran.

‎it is well known that every (real or complex) normed linear space $l$ is isometrically embeddable into $c(x)$ for some compact hausdorff space $x$‎. ‎here $x$ is the closed unit ball of $l^*$ (the set of all continuous scalar-valued linear mappings on $l$) endowed with the weak$^*$ topology‎, ‎which is compact by the banach--alaoglu theorem‎. ‎we prove that the compact hausdorff space $x$ can ...

Journal: :Communications in Mathematical Physics 2021

We study a system of all-to-all weakly coupled uniformly expanding circle maps in the thermodynamic limit. The state is described by probability measure and its evolution given action nonlinear operator, also called self-consistent transfer operator. prove that when coupling sufficiently small, has unique stable satisfies linear response formula varying strength.

Journal: :sahand communications in mathematical analysis 2014
hamid reza moradi

the present paper introduces the notion of the complete fuzzy norm on a linear space. and, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. some characterizations of their properties are obtained.

1991
Maria Girardi MARIA GIRARDI

A type of oscillation modeled on BMO is introduced to characterize norm compactness in L 1. This result is used to characterize the bounded linear operators from L 1 into a Banach space X that map weakly convergent sequences onto norm convergent sequences (i.e. are Dunford-Pettis). This characterization is used to study the geometry of Banach spaces X with the property that all bounded linear o...

Journal: :iranian journal of fuzzy systems 2014
m. saheli a. hasankhani a. nazari

in the present paper, we study some properties of fuzzy norm of linear operators. at first the bounded inverse theorem on fuzzy normed linear spaces is investigated. then, we prove hahn banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. finally the set of all compact operators on these spaces is studied.

2004
Nicolas de Hidalgo

,ABSTRACT. There is a formula (Gelfand’s formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete. In this paper we show a formula to find the spectral radius of any linear and compact operator T defined on a complete topological vector space, locally convex. We also show an easy way to find a n...

Journal: :Journal of Functional Analysis 2019

Journal: :Applied general topology 2021

<p>In this paper we introduce the concept of Lipschitz Pietsch-p-integral <br />mappings, (1≤p≤∞), between a metric space and Banach space. We represent these mappings by an integral with respect to vector<br />measure defined on suitable compact Hausdorff space, obtaining in way rich factorization theory through classical spaces C(K), L_p(μ,K) L_∞(μ,K). Also show that type op...

Journal: :Positivity 2022

We show that the solid hull of every weakly precompact set a Banach lattice E is if and only order interval in precompact, or equivalently, disjoint compact precompact. Some results on domination property for positive operators are obtained. Among other things, we that, pair lattices F with $$\sigma $$ -Dedekind complete, operator from to dominated by either norm $$E^{\prime }$$ continuous else

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