On complemented subspaces of non-Archimedean Kothe spaces

被引：1

作者：

Sliwa, Wieslaw ^{[1
]}

Ziemkowska, Agnieszka ^{[2
]}

机构：

[1] Univ Rzeszow, Fac Math & Nat Sci, Pigonia 1, PL-35310 Rzeszow, Poland

[2] Poznan Univ Tech, Inst Math, Ul Piotrowo 3A, PL-60965 Poznan, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 470卷 / 01期

关键词：

Non-Archimedean Frechet spaces; Frechet-Montel spaces; Kothe spaces; Generalized power series spaces; NUCLEAR FRECHET SPACES; POWER-SERIES SPACES; CLOSED SUBSPACES;

D O I：

10.1016/j.jmaa.2018.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized power series spaces D-f (a, r) are the most known and important examples of nuclear Kothe spaces. We prove that every Kothe-Montel space (over a non-Archimedean field K) has a complemented closed subspace isomorphic to a generalized power series space D-f (a, r). It follows that every non-normable Frechet space E that is not isomorphic to the product of a Banach space and the space K-N has a closed subspace isomorphic to a generalized power series space D-f (a, r). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：401 / 412

页数：12

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