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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
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Abstract

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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