Frames Generated by Subspace Addition

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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA454892

Entities

People

  • Y. C. Pati

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Availability
  • Buildings And Structures
  • Classification
  • Contracts
  • Cooperation
  • Electrical Engineering
  • Engineering
  • Geometry
  • Hilbert Space
  • Information Operations
  • Instructions
  • Maryland
  • Military Research
  • Research Facilities
  • Universities

Fields of Study

  • Mathematics

Readers

  • Image Processing and Computer Vision.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Space Objects