On the infinite product of \(C_0\)-semigroups
type: Item
instance of: scholarly article
title: On the infinite product of \(C_0\)-semigroups
zbMATH Open document ID: 0928.47026
author: Wolfgang Arendt
author: A. Driouich
author: Omar El-Mennaoui
published in: Journal of Functional Analysis
publication date: 2000-01-04T00:00:00Z
review text: The authors give conditions such that the infinite product of a sequence of commuting \(C_{0}\)-semigroups exists and defines again a \(C_{0}\)-semigroup. The result is applied to the heat semigroup in infinite dimensions.
reviewed by: Rainer Nagel
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47D60
zbMATH DE Number: 1250657
zbMATH Keywords: infinite product
zbMATH Keywords: commuting \(C_0\)-semigroups
zbMATH Keywords: heat semigroup in infinite dimensions
MaRDI profile type: Publication
full work available at URL: jfan.1998.3341
OpenAlex ID: W2050169589
cites work: Q4327845
cites work: Vector-valued holomorphic functions revisited
cites work: Boundary values of holomorphic semigroups
cites work: Local integrated semigroups: Evolution with jumps of regularity
cites work: On a functional analysis approach to parabolic equations in infinite dimensions
cites work: Q4364491
cites work: Q3906660
cites work: Some results on elliptic and parabolic equations in Hilbert spaces
cites work: On the norm continuity of transition semigroups in Hilbert spaces
cites work: Stochastic Equations in Infinite Dimensions
cites work: Q3687236
cites work: TOWARDS A CHARACTERIZATION OF EVENTUALLY NORM CONTINUOUS SEMIGROUPS ON BANACH SPACES
cites work: On the characterization of eventually norm continuous semigroups in Hilbert spaces
cites work: Non-differentiability of heat semigroups in infinite dimensional Hilbert spaces
cites work: Q3244654
cites work: One-parameter semigroups of positive operators
cites work: Norm discontinuity of Ornstein-Uhlenbeck semigroups
cites work: L∞ -Contractivity of Semigroups Generated by Sectorial Forms
DOI: 10.1006/JFAN.1998.3341
Recommended article: On a certain class of infinite products with an application to arithmetical semigroups
Recommended article: On the product formulas for \(C\)-semigroups
Recommended article: The infinite product of contraction semigroups on \(l^1(\mathbb{N})\) and \(l^\infty (\mathbb{N})\)
Recommended article: Infinite tensor products of completely positive semigroups
Recommended article: E0-SEMIGROUPS FOR CONTINUOUS PRODUCT SYSTEMS
Recommended article: Inner E0-Semigroups on Infinite Factors
Recommended article: On products of hypercyclic semigroups
Recommended article: On a semigroup \(C^*\)-algebra for a semidirect product
Recommended article: \(E_0\)-semigroups for continuous product systems: the nonunital case
description: scientific article; zbMATH DE number 1250657