spectral measure of multiplication operator - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-22T14:14:01Z http://mathoverflow.net/feeds/question/85491 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85491/spectral-measure-of-multiplication-operator spectral measure of multiplication operator beno 2012-01-12T14:23:21Z 2012-01-12T14:23:21Z <p>hi,</p> <p>i have the following question: let $(X,\mu)$ be a finite measure space and consider the operator $T : L^{2}(X, \mu) \rightarrow L^{2}(X, \mu)$ given by $Tf(x) = \varphi(x) f(x)$, where $\varphi : X \rightarrow \mathbb{R}$ is a bounded measurabel function. Is there any possibility to determine the spectral measure? hope this question is not too trivial. thanks in advance.</p> <p>beno</p>