Accession Number:

AD0630536

Title:

EIGENFUNCTION EXPANSIONS IN BANACH SPACES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s):

Report Date:

1966-01-01

Pagination or Media Count:

31.0

Abstract:

It is shown that the property of being a basis in a reflexive Banach space for a set of vectors, in particular the eigenfunctions of an unbounded operator, is preserved under certain perturbations. As an application the author shows that a large class of 2nd order differential operators with operator valued coefficients have bases of eigenfunctions in Lp0, 1, 1 p infinity. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE