Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
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Abstract:
In this paper, we obtain equivalent conditions relating oblique projections to biorthogonal Riesz bases and angles between closed linear subspaces of a Hilbert space. We also prove an extension theorem in the biorthogonal setting, which leads to biorthogonal multiwavelets.References
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Additional Information
- Wai-Shing Tang
- Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Republic of Singapore
- Email: mattws@math.nus.edu.sg
- Received by editor(s): March 23, 1998
- Published electronically: September 27, 1999
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 463-473
- MSC (2000): Primary 46C99, 47B99, 46B15
- DOI: https://doi.org/10.1090/S0002-9939-99-05075-3
- MathSciNet review: 1626494