Characteristics for certain classes of Banach spaces and their applications
type: Item
instance of: scholarly article
title: Characteristics for certain classes of Banach spaces and their applications
zbMATH Open document ID: 0638.47032
DOI: 10.1007/BF01060783
author: E. A. Pavlov
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Let E be a Banach ideal and \(G=(g_ t)\) a semigroup of linear operators acting on E. Let also \(\tau\vdash K(\tau)\) be a kernel. Sufficient conditions are given so that the family of integral operators \[ (T_ G^{\lambda}f(t)=2\lambda \int^{\infty}_{0}G_{\tau}f(t)\times K(\tau \lambda)d\tau) \] should converge (pointwise) to the identity as \(\lambda\) tends to infinity.
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 4040635
zbMATH Keywords: modules of continuity
zbMATH Keywords: semigroup of linear operators
zbMATH Keywords: Banach ideal
zbMATH Keywords: kernel
zbMATH Keywords: family of integral operators
reviewed by: Mihai Turinici
MaRDI profile type: Publication
cites work: Q5332414
full work available at URL: https://doi.org/10.1007/bf01060783
OpenAlex ID: W2072718811
description: scientific article; zbMATH DE number 4040635