On the Generalization of the Volterra Principle of Inversion.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0770087
Entities
People
- Romano M. Desantis
- William A. Porter
Organizations
- University of Michigan