Characterizing Hilbert space frames with the subframe property

Peter G. Casazza

Type: Article

Publication Date: 1997-12-01

Citations: 11

DOI: https://doi.org/10.1215/ijm/1256068986

Abstract

We characterize Riesz frames and frames with the subframe property and use this to answer most of the questions from the literature concerning these properties and their relationships to the projection methods etc.

Locations

Illinois Journal of Mathematics - View - PDF

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+	Approximation schemes satisfying Shapiro's Theorem	2010	J. M. Almira Timur Oikhberg
+ PDF Chat	Nullspaces and frames	2005	Jorge Antezana Gustavo Corach Mariano Ruiz D. Stojanoff
+ PDF Chat	Approximation schemes satisfying Shapiro’s Theorem	2012	J. M. Almira Timur Oikhberg
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+ PDF Chat	NATURAL ORTHONORMAL BASES ASSOCIATED WITH FINITE FRAMES	2007	Young-Hwa Ha Han-Young Ryu
+ PDF Chat	The Characterization and Stability of g-Riesz Frames for Super Hilbert Space	2015	Dingli Hua Yongdong Huang
+ PDF Chat	THE ART OF FRAME THEORY	2000	Peter G. Casazza
+	Modern tools for weyl-heisenberg (gabor) frame theory	2001	Peter G. Casazza
+	Proyecciones oblicuas y complementos de Schur	2006	Jorge Antezana
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Works Cited by This (7)

Action	Title	Year	Authors
+	An introduction to nonharmonic Fourier series	1980	Robert M. Young
+	Hilbert Space Frames Containing a Riesz Basis and Banach Spaces Which Have No Subspace Isomorphic toc0	1996	Peter G. Casazza Ole Christensen
+	Frames and the Projection Method	1993	Ole Christensen
+	Frames Containing a Riesz Basis and Approximation of the Frame Coefficients Using Finite-Dimensional Methods	1996	Ole Christensen
+ PDF Chat	Approximation of the solution to the moment problem in a hilbert space	1990	M. Zwaan
+	Frames and Pseudo-Inverses	1995	Ole Christensen
+	Riesz frames and approximation of the frame coefficients	1998	Peter G. Casazza Ole Christensen