Distinguished Varieties
classification
🧮 math.FA
math.CV
keywords
distinguishedvarietybidiskalwaysandoboundarycommutingcontain
read the original abstract
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Ando's inequality for commuting matrix contractions can be sharpened to looking at the maximum modulus on a distinguished variety, not the whole bidisk. We show that uniqueness sets for extremal Pick problems on the bidisk always contain a distinguished variety.
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