Fixed points of holomorphic transformations of operator balls

Details Fixed points of holomorphic transformations of operator balls Fixed points of holomorphic transformations of operator balls

2009-02-11

arxiv.org/abs/0902.1784v2

Quarterly J. Math. (Oxford), 62 (2011), 173-187

Mathematics

Metric Geometry

An improved version with some corrections and new results, also we have changed the title

Scientific paper

A new technique for proving fixed point theorems for families of holomorphic transformations of operator balls is developed. One of these theorems is used to show that a bounded representation in a real or complex Hilbert space is orthogonalizable or unitarizable (that is similar to an orthogonal or unitary representation), respectively, provided the representation has an invariant indefinite quadratic form with finitely many negative squares.

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