Accession Number : AD0770087
Title : On the Generalization of the Volterra Principle of Inversion.
Descriptive Note : Interim technical rept.,
Corporate Author : MICHIGAN UNIV ANN ARBOR SYSTEMS ENGINEERING LAB
Personal Author(s) : Porter,William A. ; DeSantis,Romano M.
Report Date : SEP 1973
Pagination or Media Count : 11
Abstract : In the article a linear operator, K, defined on a Hilbert space equipped with a chain of orthoprojectors is considered. It is proved that if K enjoys a particular property with respect to the chain of orthoprojectors, then the series the summation from n=0 to infinity of (K sup n) converges in the uniform operator norm. The proof uses purely algebraic techniques and does not require compactness of K. As such it is a significant generalization of the wellknown Volterra principle of inversion. (Author)
Descriptors : (*Integral equations, *Hilbert space), Operators(Mathematics), Theorems
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE