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ArticleOriginal scientific text

Title

Analytic formulas for the hyperbolic distance between two contractions

Authors 1

Affiliations

  1. Institute of Mathematics, Romanian Academy, P.O. Box 1-764, RO-70700, Bucharest, Romania

Abstract

In this paper we give some analytic formulas for the hyperbolic (Harnack) distance between two contractions which permit concrete computations in several situations, including the finite-dimensional case. The main consequence of these formulas is the proof of the Schwarz-Pick Lemma. It modifies those given in [13] by the avoidance of a general Schur type formula for contractive analytic functions, more exactly by reducing the case to the more manageable situation when the function takes as values strict contractions.

Keywords

ENG
Harnack parts, hyperbolic distance, operator Schwarz-Pick Lemma

Bibliography

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Annales Polonici Mathematici
1997/66/1
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Pages:
239-252
Main language of publication
English
Received
1995-07-12
Published
1997
Exact and natural sciences