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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De Gruyter
2018
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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) |
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tetrablock symmetrized bidisc schwarz lemma 30c80 32f45 Mathematics QA1-939 |
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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 |
work_keys_str_mv |
AT palsourav ageneralizedschwarzlemmafortwodomainsrelatedtomsynthesis AT roysamriddho ageneralizedschwarzlemmafortwodomainsrelatedtomsynthesis AT palsourav generalizedschwarzlemmafortwodomainsrelatedtomsynthesis AT roysamriddho generalizedschwarzlemmafortwodomainsrelatedtomsynthesis |
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1718381296780050432 |