Accession Number:

ADA454892

Title:

Frames Generated by Subspace Addition

Descriptive Note:

Technical research rept.

Corporate Author:

MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER

Personal Author(s):

Report Date:

1991-01-01

Pagination or Media Count:

12.0

Abstract:

Given two subspaces M and N of a Hilbert space, and frames associated with each of the subspaces, the question addressed in this report is that of determining when the union of the two frames is a frame for the direct sum space M circle plus N. The author provides sufficient conditions for the union of the two frames to be a frame for M circle plus N and also estimates for the frame bounds. The results discussed here are given in terms of the relative geometry of subspaces. Some simple examples in which the frame bounds can be explicitly computed are provided to demonstrate the accuracy of the frame bound estimates.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE