𝔖 Bobbio Scriptorium
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Generalized Poincaré metric on the operator ball

✍ Scribed by V. A. Khatskevich


Publisher
Springer US
Year
1984
Tongue
English
Weight
220 KB
Volume
17
Category
Article
ISSN
0016-2663

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📜 SIMILAR VOLUMES


The Klein, Hilbert and Poincaré metrics
✍ A.F. Beardon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 88 KB

Let D be a bounded strictly convex domain in Euclidean n-space equipped with its Hilbert metric h(x; y). It is shown that as the points x and y of D approach distinct points on the boundary of D, for any a in D the sum h(x; a) + h(a; y) is asymptotic to h(x; y).

The Hyperbolic Derivative in the Poincar
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The generic Mobius transformation of the complex open unit disc induces a binary operation in the disc, called the Mobius addition. Following its introduction, ẗhe extension of the Mobius addition to the ball of any real inner product space änd the scalar multiplication that it admits are presented,