A von Neumann type inequality for certain domains in Cn

0106804 - MU-W 20040011 RIV US eng J - Journal Article
Ambrozie, Calin-Grigore - Timotin, D.
A von Neumann type inequality for certain domains in Cn.
[Von Neumannova nerovnost pro jisté oblasti v Cn.]
Proceedings of the American Mathematical Society. Roč. 131, č. 3 (2002), s. 859-869. ISSN 0002-9939. E-ISSN 1088-6826
R&D Projects: GA ČR GA201/03/0041
Institutional research plan: CEZ:AV0Z1019905
Keywords : von Neumann inequality * multioperators * Nevanlinna-Pick problem
Subject RIV: BA - General Mathematics
Impact factor: 0.334, year: 2002

Strict contractions on a Hilbert space have a functional calculus with functions that are analytic in the unit disc of the complex plane; an estimate of thenorm is then provided by von Neumannďs inequality. We consider functions that satisfy related inequalities with respect to multioperators connected to certain domains in Cn; a representation formula and a Nevanlinna-Pick type.

Je uvažováno zobecnění von Neumannovy nerovnosti pro multioperátory spojené s jistými oblastmi v Cn.
Permanent Link: http://hdl.handle.net/11104/0013978