Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 1
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- Pages.205-216
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
ON THE SPECTRAL MAXIMAL SPACES OF A MULTIPLICATION OPERATOR
- Park, Jae-Chul (Department of Mathematices Sogang University ) ;
- Yoo, Jong-Kwang (Department of Mathematices Chodang University)
- Published : 1996.02.01
Abstract
In [13], Ptak and Vrbova proved that if T is a bounded normal operator T on a complex Hilbert space H, then the ranges of the spectral projections can be represented in the form $$ \varepsilon(F)H = \bigcap_{\lambda\notinF} (T - \lambda I) H for all closed subsets F of C, $$ where $\varepsilon$ denotes the spectral measure associated with T.
Keywords
- Decomposable operator;
- Divisible subspaces;
- Spectral maximal spaces;
- Hull-Kernel topology;
- Gelfand topology