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Expanding a Finite Blaschke Product

โœ Scribed by Mashreghi, Javad


Book ID
120491659
Publisher
Taylor and Francis Group
Year
2002
Weight
112 KB
Volume
47
Category
Article
ISSN
0278-1077

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Let A be a contraction on Hilbert space H and ฯ† a finite Blaschke product. In this paper, we consider the problem when the norm of ฯ†(A) is equal to 1. We show that (1) ฯ†(A) = 1 if and only if A k = 1, where k is the number of zeros of ฯ† counting multiplicity, and (2) if H is finite-dimensional and A

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