Year: 1988
Type: article
Abstract: In this paper we show that the usual Sobolev spaces ${\left ( {{H^s}\left ( \Omega \right )} \right )_{s \in {\mathbf {R}}}}$ are no Hilbert scale in the sense of Krein-Petunin, if $\Omega$ is an open bounded subset of ${{\mathbf {R}}^n}$.
Author: Andreas Neubauer
Institutions: Johannes Kepler University of Linz, University of Cincinnati
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1976278051