Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Equivalence relations and distances
between Hilbert frames

Author: Radu Balan
Journal: Proc. Amer. Math. Soc. 127 (1999), 2353-2366
MSC (1991): Primary 42C99, 46C99
Published electronically: April 8, 1999
MathSciNet review: 1600096
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study some equivalency relations between Hilbert frames and closed subspaces of $l^2(\mathbf{I})$. We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respectively the nearest tight frame to a given frame.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42C99, 46C99

Retrieve articles in all journals with MSC (1991): 42C99, 46C99

Additional Information

Radu Balan
Affiliation: Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544

PII: S 0002-9939(99)04826-1
Keywords: Closeness bound, nearness, quadratic distance between frames
Received by editor(s): October 31, 1997
Published electronically: April 8, 1999
Additional Notes: The author is grateful to Ingrid Daubechies for the many hours of working together and for the continuous support and encouragement. He also thanks David Larson for a copy of his paper.
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society