Perturbation results for exponentially dichotomous operators on general Banach spaces

A.C.M. Ran; C.V.M. van der Mee

doi:10.1016/j.jfa.2003.07.008

Perturbation results for exponentially dichotomous operators on general Banach spaces

A.C.M. Ran, C.V.M. van der Mee

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

Abstract

Some perturbation results for exponentially dichotomous operators are applied to prove the existence of stable and anti-stable solutions of Riccati equations associated to block operators on general Banach spaces, both for compact perturbations and for bisemigroups made up of immediately norm continuous semigroups. © 2003 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	193-213
Journal	Journal of Functional Analysis
Volume	210
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2003.07.008
Publication status	Published - 2004

Bibliographical note

MR2052119

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10.1016/j.jfa.2003.07.008

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title = "Perturbation results for exponentially dichotomous operators on general Banach spaces",

abstract = "Some perturbation results for exponentially dichotomous operators are applied to prove the existence of stable and anti-stable solutions of Riccati equations associated to block operators on general Banach spaces, both for compact perturbations and for bisemigroups made up of immediately norm continuous semigroups. {\textcopyright} 2003 Elsevier Inc. All rights reserved.",

author = "A.C.M. Ran and {van der Mee}, C.V.M.",

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journal = "Journal of Functional Analysis",

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N2 - Some perturbation results for exponentially dichotomous operators are applied to prove the existence of stable and anti-stable solutions of Riccati equations associated to block operators on general Banach spaces, both for compact perturbations and for bisemigroups made up of immediately norm continuous semigroups. © 2003 Elsevier Inc. All rights reserved.

AB - Some perturbation results for exponentially dichotomous operators are applied to prove the existence of stable and anti-stable solutions of Riccati equations associated to block operators on general Banach spaces, both for compact perturbations and for bisemigroups made up of immediately norm continuous semigroups. © 2003 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.jfa.2003.07.008

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EP - 213

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -

Perturbation results for exponentially dichotomous operators on general Banach spaces

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