Distinguished Varieties

Details Distinguished Varieties Distinguished Varieties

2005-04-05

arxiv.org/abs/math/0504084v1

Mathematics

Functional Analysis

Scientific paper

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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