On the structure of C-0-semigroups of holomorphic Caratheodory isometries in Hilbert space

We establish closed formulas for all strongly continuous one-parameter semigroups of holomorphic Caratheodory isometrics of the unit ball of a Hilbert space in terms of spectral resolutions of skew self-adjoint dilations related to the Reich-Shoikhet nonlinear infinitesimal generator. (C) 2016 Elsev...

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Bibliographic Details
Main Author: Stachó László
Format: Article
Published: 2017
Series:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 445 No. 1
doi:10.1016/j.jmaa.2016.07.038

mtmt:3171904
Online Access:http://publicatio.bibl.u-szeged.hu/19896
Description
Summary:We establish closed formulas for all strongly continuous one-parameter semigroups of holomorphic Caratheodory isometrics of the unit ball of a Hilbert space in terms of spectral resolutions of skew self-adjoint dilations related to the Reich-Shoikhet nonlinear infinitesimal generator. (C) 2016 Elsevier Inc. All rights reserved.
Physical Description:139-150
ISSN:0022-247X