Equivalence relations and distances between Hilbert frames

Authors
Balan, R
Citation
R. Balan, Equivalence relations and distances between Hilbert frames, P AM MATH S, 127(8), 1999, pp. 2353-2366
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
8
Year of publication
1999
Pages
2353 - 2366
Database
ISI
SICI code
0002-9939(199908)127:8<2353:ERADBH>2.0.ZU;2-0
Abstract
We study some equivalency relations between Hilbert frames and closed subsp aces of l(2)(I). We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respe ctively the nearest tight frame to a given frame.