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Bounds for Operator/Hilbert-Schmidt Norm Minimization Using Entropy
Journal article   Open access   Peer reviewed

Bounds for Operator/Hilbert-Schmidt Norm Minimization Using Entropy

Mihály Bakonyi, Victor G. Kaftal, Gary Weiss and Hugo J. Woerdeman
Indiana University mathematics journal, v 46(2), pp 405-425
1997
url
https://doi.org/10.1512/iumj.1997.46.1165View
Published, Version of Record (VoR) Open

Abstract

Approximation Cauchy Schwarz inequality College mathematics Entropy Interpolation Linear algebra Mathematical functions Mathematics Matrices Operator theory
In contrast to earlier results on joint operator/Hilbert-Schmidt norm minimization of operator completions, we develop joint norm bounds in terms of entropy and data depending on the particular operator. In addition, a matricial proof is given of a joint norm result of Foias, Frazho and Li, and an L2/L∞ equivalent of an ℓ1/L∞ problem raised by Peller is presented.

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Domestic collaboration
Web of Science research areas
Mathematics
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