Characterization of sequences of frame norms

DOI10.1515/CRELLE.2011.035zbMath1230.46020MaRDI QIDQ3009283

John Jasper, Marcin Bownik

Publication date: 23 June 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

framesnormsdiagonals of positive operators

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Convex potentials and optimal shift generated oblique duals in shift invariant spaces, Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov, Matrix representations of arbitrary bounded operators on Hilbert spaces, The Schur-Horn theorem for operators with three point spectrum, A Measurable Selector in Kadison’s Carpenter’s Theorem, On the interplay between operators, bases, and matrices, Orthonormal dilations of non-tight frames, Diagonals of operators and Blaschke’s enigma, The Schur-Horn Theorem for operators with finite spectrum

Cites Work

• An infinite dimensional Schur-Horn theorem and majorization theory
• An infinite dimensional version of the Schur-Horn convexity theorem
• Finite normalized tight frames
• Towards the carpenter’s theorem
• The Pythagorean Theorem: I. The finite case
• The Pythagorean Theorem: II. The infinite discrete case
• Diagonals of normal operators with finite spectrum
• A Schur-Horn theorem in II$_1$ factors
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix