Local semigroups of contractions and some applications to Fourier representation theorems
type: Item
instance of: scholarly article
title: Local semigroups of contractions and some applications to Fourier representation theorems
zbMATH Open document ID: 0656.47031
DOI: 10.1007/BF01196119
author: R. Bruzual
published in: Integral Equations and Operator Theory
publication date: 1987-01-01T00:00:00Z
review text: It is proved that every local semigroup of contraction operators can be dilated to a group of unitary operators. Applications to some problems related with results of M. G. Krein, Bochner and Koosis are given.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 4071727
zbMATH Keywords: local semigroup of contraction operators
zbMATH Keywords: group of unitary operators
MaRDI profile type: Publication
cites work: Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
cites work: Q3278549
cites work: Q3472696
cites work: Generalized Toeplitz kernels and dilations of intertwining operators
cites work: Q3670022
cites work: Q5185494
cites work: Q3948111
cites work: Q3949476
cites work: Theory of Reproducing Kernels
cites work: Q5539254
cites work: Q3894416
cites work: On the extensions of positive definite functions
cites work: Q5336643
cites work: Q5558741
cites work: Construction of a unique self-adjoint generator for a symmetric local semigroup
cites work: Q5686475
cites work: Weighted quadratic means of Hilbert transforms
cites work: Q3961739
cites work: Q5844088
cites work: Multi-parameter local semi-groups of Hermetian operators
full work available at URL: https://doi.org/10.1007/bf01196119
OpenAlex ID: W1981801953
description: scientific article; zbMATH DE number 4071727