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
โฆ LIBER โฆ
Weak infinite powers of Blaschke products
โ Scribed by Keiji Izuchi
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 700 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0021-7670
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