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The Radial Images of Blaschke Products

โœ Scribed by Cargo, G. T.


Book ID
120098042
Publisher
Oxford University Press
Year
1961
Tongue
English
Weight
187 KB
Volume
s1-36
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


On radial zeros of Blaschke products
โœ ร…ke Samuelsson ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 693 KB
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