Admissibility of Frechet spaces
Functional Analysis
2021-12-02 v1
Abstract
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. It is worth noticing that F-norms introduced in Theorem 4.1 generalize the classical Luxemburg F-norm. Also a linear version of admissibility (so called metric approximation property) for order continuous symmetric spaces will be demonstrated (see Theorem 5.1).
Keywords
Cite
@article{arxiv.2112.00349,
title = {Admissibility of Frechet spaces},
author = {Maciej Ciesielski and Grzegorz Lewicki},
journal= {arXiv preprint arXiv:2112.00349},
year = {2021}
}