Fixed points of holomorphic transformations of operator balls
Metric Geometry
2011-09-02 v2 Operator Algebras
Abstract
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.
Cite
@article{arxiv.0902.1784,
title = {Fixed points of holomorphic transformations of operator balls},
author = {M. I. Ostrovskii and V. S. Shulman and L. Turowska},
journal= {arXiv preprint arXiv:0902.1784},
year = {2011}
}
Comments
An improved version with some corrections and new results, also we have changed the title