Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-10T23:22:41.725Z Has data issue: false hasContentIssue false
  • English
  • Français

ALGEBRAS DENSE IN $L^2$ SPACES: AN OPERATOR APPROACH

Published online by Cambridge University Press:  31 January 2005

MICHAŁ WOJTYLAK
MICHAŁ WOJTYLAK
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, Kraków, e-mail: Michal.Wojtylak@im.uj.edu.pl
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let $\mu$ be a finite positive Borel measure defined on a $\sigma$-algebra of subsets of a set $\X$. Using operator techniques we provide several criteria for finitely generated algebras to be dense in the space $L^2(\mu)$.

Keywords

Primary 47A58Secondary 41A6547B25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 1 , January 2005 , pp. 155 - 165
Copyright
2005 Glasgow Mathematical Journal Trust