EIGENFUNCTION EXPANSIONS IN BANACH SPACES.

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 L(p)(0, 1), 1 < p < infinity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0630536

Entities

People

  • R. E. L. Turner

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Coefficients
  • Eigenvectors
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space