On the spaces \(C^ k(\mathbb{R})\cap L^ p(\mathbb{R})\)
type: Item
instance of: scholarly article
title: On the spaces \(C^ k(\mathbb{R})\cap L^ p(\mathbb{R})\)
zbMATH Open document ID: 0876.46022
published in: Archiv der Mathematik
publication date: 1997-11-25T00:00:00Z
review text: We show that the Fréchet-Sobolev spaces \(C(\mathbb{R})\cap L^p(\mathbb{R})\) and \(C^k(\mathbb{R})\cap L^p(\mathbb{R})\) are not isomorphic for \(p\neq 2\) and \(k\in\mathbb{N}\).
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E10
zbMATH DE Number: 1026258
zbMATH Keywords: isomorphic spaces
zbMATH Keywords: Fréchet-Sobolev spaces
author: Angela A. Albanese
author: Giorgio Metafune
author: V. B. Moscatelli
MaRDI profile type: Publication
full work available at URL: s000130050053
OpenAlex ID: W2322798701
cites work: Representations of the spaces Cm(Ω) ∩ Hk, p (Ω)
cites work: Q4355933
cites work: Q3970556
cites work: Classical Banach spaces
cites work: Q4136031
cites work: Q3995204
DOI: 10.1007/S000130050053
description: scientific article; zbMATH DE number 1026258