Differentiable functions and the generators on a Hilbert-Lie group
type: Item
instance of: scholarly article
title: Differentiable functions and the generators on a Hilbert-Lie group
zbMATH Open document ID: 0923.60009
author: Erdal Coşkun
published in: Acta Mathematica Vietnamica
publication date: 1998-12-15T00:00:00Z
review text: It is well-known that the domain of a generator of a convolution semigroup on a finite-dimensional Lie group \(G\) contains the space \(C_2(G)\) of all twice continuously left differentiable functions \(f\) with \(\| Df \|_\infty <\infty\) and \(\| D^2f\|_\infty <\infty\). This result is extended to Hilbert-Lie groups by showing that here generators contain all functions in \(C_2(G)\) which depend on finitely many canonical coordinates only.
reviewed by: Michael Voit
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 58B10
zbMATH DE Number: 1208041
zbMATH Keywords: generators of convolution semigroups
zbMATH Keywords: Hilbert-Lie group
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1208041