The distance to intertwining operators, contractive liftings and a related optimality result.

C. Foias; A.E. Frazho; M.A. Kaashoek

doi:10.1007/s00020-003-1154-y

The distance to intertwining operators, contractive liftings and a related optimality result.

C. Foias, A.E. Frazho, M.A. Kaashoek

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

Given the distance of a contraction A to the kernel of a intertwining relation we estimate the minimal distance of contractive liftings of A to the kernel of the lifted intertwining relation. We also present a related optimality result which involves the inequality ||F|| ≤ ||F - λX||, where F and X are given operators and λ is an arbitrary complex number.

Original language	English
Pages (from-to)	71-89
Journal	Integral Equations and Operator Theory
Volume	47
Issue number	1
DOIs	https://doi.org/10.1007/s00020-003-1154-y
Publication status	Published - 2003

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MR2015848

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10.1007/s00020-003-1154-y

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title = "The distance to intertwining operators, contractive liftings and a related optimality result.",

abstract = "Given the distance of a contraction A to the kernel of a intertwining relation we estimate the minimal distance of contractive liftings of A to the kernel of the lifted intertwining relation. We also present a related optimality result which involves the inequality ||F|| ≤ ||F - λX||, where F and X are given operators and λ is an arbitrary complex number.",

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AU - Frazho, A.E.

AU - Kaashoek, M.A.

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AB - Given the distance of a contraction A to the kernel of a intertwining relation we estimate the minimal distance of contractive liftings of A to the kernel of the lifted intertwining relation. We also present a related optimality result which involves the inequality ||F|| ≤ ||F - λX||, where F and X are given operators and λ is an arbitrary complex number.

U2 - 10.1007/s00020-003-1154-y

DO - 10.1007/s00020-003-1154-y

M3 - Article

SN - 0378-620X

VL - 47

SP - 71

EP - 89

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 1

ER -

The distance to intertwining operators, contractive liftings and a related optimality result.

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