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Frechet-Urysohn spaces in free topological groups

open access: yesFrechet-Urysohn spaces in free topological groups
openaire  

A normability condition for Frechet spaces

Mathematical Notes, 1985
Let X be a Frechet space with a continuous norm p, and let \(U_ p=\{x:p(x)\leq 1\}.\) The authors prove that if every continuous linear functional on X which is bounded on \(U_ p\) attains its supremum on \(U_ p\), then p generates the original topology of X, which is therefore a reflexive Banach space.
Vladimir Kadets
exaly   +3 more sources

Strictly regular Frechet spaces

Mathematical Notes, 1982
Bekanntlich ist ein Fréchetraum \(E\) distinguiert, wenn gilt: \(E'\!_{\beta}=\lim_{\to}E'\!_{U^ 0_ n}\) (kanonisch). Ist dieser induktive Limes sogar strikt, so heißt \(E\) strikt regulär. Diese Räume werden untersucht und u.a. wird gezeigt, daß das starke Dual eines strikten (LB)-Raums nicht nur distinguiert ist (nach Grothendieck), sondern sogar ...
exaly   +2 more sources

The Schauder and Krasnoselskii Fixed-Point Theorems on a Frechet Space

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toufic El Arwadi, El Arwadi Toufic
exaly   +2 more sources

A Class of Entire Dirichlet Series as an FK-Space and a Frechet Space

Acta Mathematica Scientia, 2013
Abstract In the present paper we consider a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra and prove it to be a complex FK-space and a Frechet space.
Niraj KUMAR, Garima MANOCHA
exaly   +2 more sources

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