English

On the von Neumann Inequality for Linear Matrix Functions of Several Variables

funct-an 2007-05-23 v1 Operator Algebras

Abstract

The theorem on the existence of three commuting contractions on a Hilbert space and of a linear homogeneous matrix function of three independent variables for which the generalized von Neumann inequality fails is proved.

Keywords

Cite

@article{arxiv.funct-an/9711001,
  title  = {On the von Neumann Inequality for Linear Matrix Functions of Several Variables},
  author = {Dmitriy S. Kalyuzhniy},
  journal= {arXiv preprint arXiv:funct-an/9711001},
  year   = {2007}
}

Comments

6 pages, LaTeX 2.09