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Boundary Interpolation by Finite Blaschke Products

โœ Scribed by Pamela Gorkin; Robert C. Rhoades


Publisher
Springer
Year
2006
Tongue
English
Weight
213 KB
Volume
27
Category
Article
ISSN
0176-4276

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Finite Blaschke products of contractions
โœ Hwa-Long Gau; Pei Yuan Wu ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 128 KB

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