Vol. 83, No. 2, 1979

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Inner functions invariant connected components

Vassili Nestoridis

Vol. 83 (1979), No. 2, 473–480
Abstract

The inner functions d = exp{(z + 1)(z 1)} and zd belong to the same connected component in the space of inner functions under uniform topology. Therefore, simplification is not possible in general but it is always possible to simplify by a finite Blaschke product.

Mathematical Subject Classification 2000
Primary: 30D50
Secondary: 30D55
Milestones
Received: 7 April 1978
Revised: 8 June 1978
Published: 1 August 1979
Authors
Vassili Nestoridis