A generalized Schwarz lemma for two domains related to μ-synthesis

We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2. In either case, our results generalize all previous results in this direction for E and G2.

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Autores principales: Pal Sourav, Roy Samriddho
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2018
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Acceso en línea:https://doaj.org/article/f8e26cec0b2946e69a30420f21fc667f
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spelling oai:doaj.org-article:f8e26cec0b2946e69a30420f21fc667f2021-12-02T17:14:47ZA generalized Schwarz lemma for two domains related to μ-synthesis2300-744310.1515/coma-2018-0001https://doaj.org/article/f8e26cec0b2946e69a30420f21fc667f2018-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2018-0001https://doaj.org/toc/2300-7443We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2. In either case, our results generalize all previous results in this direction for E and G2.Pal SouravRoy SamriddhoDe Gruyterarticletetrablocksymmetrized bidiscschwarz lemma30c8032f45MathematicsQA1-939ENComplex Manifolds, Vol 5, Iss 1, Pp 1-8 (2018)
institution DOAJ
collection DOAJ
language EN
topic tetrablock
symmetrized bidisc
schwarz lemma
30c80
32f45
Mathematics
QA1-939
spellingShingle tetrablock
symmetrized bidisc
schwarz lemma
30c80
32f45
Mathematics
QA1-939
Pal Sourav
Roy Samriddho
A generalized Schwarz lemma for two domains related to μ-synthesis
description We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2. In either case, our results generalize all previous results in this direction for E and G2.
format article
author Pal Sourav
Roy Samriddho
author_facet Pal Sourav
Roy Samriddho
author_sort Pal Sourav
title A generalized Schwarz lemma for two domains related to μ-synthesis
title_short A generalized Schwarz lemma for two domains related to μ-synthesis
title_full A generalized Schwarz lemma for two domains related to μ-synthesis
title_fullStr A generalized Schwarz lemma for two domains related to μ-synthesis
title_full_unstemmed A generalized Schwarz lemma for two domains related to μ-synthesis
title_sort generalized schwarz lemma for two domains related to μ-synthesis
publisher De Gruyter
publishDate 2018
url https://doaj.org/article/f8e26cec0b2946e69a30420f21fc667f
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AT roysamriddho ageneralizedschwarzlemmafortwodomainsrelatedtomsynthesis
AT palsourav generalizedschwarzlemmafortwodomainsrelatedtomsynthesis
AT roysamriddho generalizedschwarzlemmafortwodomainsrelatedtomsynthesis
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