A strong Parrott theorem

Author:

Foias Ciprian,Tannenbaum Allen

Abstract

In this note we discuss a strengthened version of a theorem due to Parrott [8] in operator dilation theory. We relate our result to the one-step extension procedure of Adamjan-Arov-Krein [1].

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem;Adamjan, V. M.;Mat. Sb. (N.S.),1971

2. A factorization of an arbitrary 𝑚×𝑛 contractive operator-matrix;Davis, Chandler,1982

3. Norm-preserving dilations and their applications to optimal error bounds;Davis, Chandler;SIAM J. Numer. Anal.,1982

4. A maximum entropy principle for contractive interpolants;Dym, Harry;J. Funct. Anal.,1986

5. Redheffer products and the lifting of contractions on Hilbert space;Foias, Ciprian;J. Operator Theory,1984

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1. Parrott’s Theorem and Bounded Solutions of a System of Operator Equations;Complex Analysis and Operator Theory;2016-05-12

2. Idempotent completions of operator partial matrices;Acta Mathematica Sinica;1999-07

3. Square-Root Algorithms for Structured Matrices, Interpolation, and Completion Problems;Linear Algebra for Signal Processing;1995

4. Lifting intertwining operators;Periodica Mathematica Hungarica;1994-06

5. On The Spectra of Operator Completion Problems;New Aspects in Interpolation and Completion Theories;1993

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