• Journal of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.205-216
• /
• 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.

• Journal of the Korean Mathematical Society
• /
• v.16 no.1
• /
• pp.9-16
• /
• 1979