EXTREMAL SPECTRAL FUNCTIONS OF A SYMMETRIC OPERATOR
Abstract
It is known that the finite dimensional extensions of a symmetric operator define extremal spectral functions of the operator. Finite dimensional extensions exist, however, only for symmetric operators with equal deficiency indices. In this report it is shown that self adjoint extensions defined by the addition of maximal symmetric operators determine extremal spectral functions for a symmetric operator with unequal deficiency indices.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1963
- Accession Number
- AD0407978
Entities
People
- Richard C. Gilbert
Organizations
- University of Wisconsin–Madison