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

Report Date:

1973-09-01

Pagination or Media Count:

11.0

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 n0 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE