A certain rational function and operator theory on the symmetrized polydisc

An n-tuple (S1,…,Sn−1,P) of commuting Hilbert space operators, for which the closed symmetrized polydiscΓn={(∑i=1nzi,∑1≤i

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-03, Vol.495 (1), p.124714, Article 124714
Main Authors: Bisai, Bappa, Pal, Sourav
Format: Article
Language:English
Subjects:
[formula omitted]-contraction
[formula omitted]-isometry
[formula omitted]-unitary
Costara's rational function
Distinguished boundary
Symmetrized polydisc
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Description
Summary:An n-tuple (S1,…,Sn−1,P) of commuting Hilbert space operators, for which the closed symmetrized polydiscΓn={(∑i=1nzi,∑1≤i
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124714