Equivalent conditions to the spectral decomposition property for closed operators

Erdélyi, I.; Wang, Sheng Wang

doi:10.1090/S0002-9947-1989-0962279-7

Equivalent conditions to the spectral decomposition property for closed operators
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by I. Erdélyi and Sheng Wang Wang PDF

Trans. Amer. Math. Soc. 314 (1989), 171-186 Request permission

Abstract:

The spectral decomposition property has been instrumental in developing a local spectral theory for closed operators acting on a complex Banach space. This paper gives some necessary and sufficient conditions for a closed operator to possess the spectral decomposition property.

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