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Some results on asymptotically normable Frechet spaces [PDF]

open access: yesBibechana, 2010
In this paper, it is shown that the asymptotically normable spaces are the smallest class of Frechet spaces which contains the nuclear Kothe spaces with continuous norm, the Banach spaces and is closed under e-tensor products and sub-spaces.
GK Palei, NP Sah
doaj   +9 more sources

Weakly compactly generated Frechet spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent
Surjit Singh Khurana
doaj   +4 more sources

Non-archimedean Frechet spaces generalizing spaces of analytic functions [PDF]

open access: yesProceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1982
AbstractNuclearity of certain classes of non-archimedean Frechet spaces and their dual spaces is studied.
N De Grande-De Kimpe
exaly   +5 more sources

Admissibility of Frechét spaces

open access: yesJournal of Applied Mathematics and Computational Mechanics
The aim of this paper is to to show the admissibility of some class of Frechet spaces (see Definition 2.3). In particular, this generalizes the main results of [3]. As an application, we show the admissibility of a large class modular spaces equipped with F-norms determined in Theorem 4.1.
Maciej Ciesielski, Grzegorz Lewicki
doaj   +3 more sources

Gateaux and Frechet Derivative In Neutrosophic Normed Linear Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this study, we present the neutrosophic derivatives, the neutrosophic Gateaux derivative, and the neutrosophic Frechet derivative, and we examine some of their features. The relationship between the neutrophilic Frechet derivative and the neutrophilic
M. Jeyaraman   +3 more
doaj   +2 more sources

Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces [PDF]

open access: yesAssiut University Journal of Multidisciplinary Scientific Research, 2022
The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases (EDBs) and exponential integral bases (EIBs) in Fréchet spaces.
Gamal Hassan, Amira Atta
doaj   +1 more source

On Twisted Frechet and (LB)-Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
We study twisted Frechet spaces as well as twisted (LB)-spaces. We prove that a twisted space can have a nontwisted dual and that twisted spaces of a special class cannot be complemented in nontwisted spaces. We also give new examples of twisted spaces.
METAFUNE, Giorgio Gustavo Ermanno   +1 more
openaire   +2 more sources

Stability of Set Differential Equations in Fréchet Spaces

open access: yesAdvances in Mathematical Physics, 2023
In this paper, we investigate the stability of set differential equations in Fréchet space F. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space F is a projective limit ...
Junyan Bao, Wei Chen, Peiguang Wang
doaj   +1 more source

Entire Symmetric Functions on the Space of Essentially Bounded Integrable Functions on the Union of Lebesgue-Rohlin Spaces

open access: yesAxioms, 2022
The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure.
Taras Vasylyshyn, Kostiantyn Zhyhallo
doaj   +1 more source

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