• 제목/요약/키워드: Spectral maximal spaces

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ON THE SPECTRAL MAXIMAL SPACES OF A MULTIPLICATION OPERATOR

  • Park, Jae-Chul;Yoo, Jong-Kwang
    • 대한수학회지
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    • 제33권1호
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    • pp.205-216
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    • 1996
  • 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.

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