Ukrainian Mathematical Bulletin

Volume 4, Issue 3, 2007 pp. 307-328.

Bistrict Plus-operators and Fractional Linear Operator Transformations

Authors: Tomas Ya. Azizov, Viktor A. Khatskevich
Author institution: Tomas Yakovlevich Azizov, Voronezh State University, Universitetskaya pl., 1, Voronezh, 394693, Russia azizov@math.vsu.ru Viktor A. Khatskevich, Department of Mathematics, ORT Braude Academic College College Campus, P.O.Box 78, Karmiel, 21982, Israel victor_kh@hotmail.com

Summary: We describe conditions for a fractional linear operator mapping to be a transformation of the operator ball $\mathfrak K=\{K\mid \|K\|\le 1\}$ into itself.

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