Accession Number : AD0635658

Title :   GENERALIZED SUBSCALAR OPERATORS.

Descriptive Note : Doctoral thesis (Technical).

Corporate Author : ILLINOIS UNIV URBANA

Personal Author(s) : Plafker, Stephen

Report Date : APR 1966

Pagination or Media Count : 65

Abstract : This paper treats a topic in generalized subscalar operators. Operator theory has been generalized from integral operators in Hilbert space to scalar and subscalar operators in Banach and other abstract spaces. In this paper some operators introduced by Maeda, using an operational calculus instead of integral representations, are restricted to certain invariant subspaces, and results analogous to some of C. Ionescu Tulcea's are among those obtained. An important theorem gives conditions for a minimal dilation of a continuous linear mapping. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), THEORY), INTEGRAL TRANSFORMS, FUNCTIONAL ANALYSIS, INVARIANCE, TOPOLOGY, COMPLEX NUMBERS, REAL NUMBERS, MAPPING(TRANSFORMATIONS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE