A theory of unbounded generalized scalar operators

Kritt, Brian

doi:10.1090/S0002-9939-1972-0293437-8

A theory of unbounded generalized scalar operators
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Proc. Amer. Math. Soc. 32 (1972), 484-490 Request permission

Abstract:

In this paper is presented a theory of unbounded operators which admit spectral distributions. The compactness of the support in the bounded case has been replaced by certain growth conditions at infinity. Properties of these operators are studied, including the existence of a Spectral Mapping Theorem.

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