Accession Number : AD0617739

Title :   NOTES ON SPECTRAL THEORY.

Descriptive Note : Technical rept.,

Corporate Author : ILLINOIS UNIV URBANA DEPT OF MATHEMATICS

Personal Author(s) : Tulcea,C. Ionescu

Report Date : DEC 1964

Pagination or Media Count : 89

Abstract : The report contains definitions and results concerning semi-spectral and spectral families of Radon measures. Topics covered include: (a) Semi-spectral and spectral families of Radon measures; (b) Remarks on scalar operators; (c) Abstract valued measures associated with operators; (d) Scalar dilations and scalar extensions of operators on Banach spaces; and (e) Conditions implying that a subscalar operator is scalar.

Descriptors :   (*MEASURE THEORY, FUNCTIONAL ANALYSIS), (*OPERATORS(MATHEMATICS), FUNCTIONAL ANALYSIS), (*FUNCTIONAL ANALYSIS, MEASURE THEORY), THEORY, TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE