Some results about complex powers of closed operators
type: Item
instance of: scholarly article
title: Some results about complex powers of closed operators
zbMATH Open document ID: 0712.47003
DOI: 10.1016/0022-247X(90)90290-V
author: Giovanni Dore
author: Alberto Venni
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The authors establish a number of results concerning linear operators on a complex Banach space having bounded imaginary powers. In particular, they provide an estimate of the state of decrease at infinity of the resolvent of a positive operator with bounded imaginary powers. They also give a sufficient condition for a perturbation of positive operators with bounded imaginary powers to have bounded imaginary powers and a related result on the growth of the imaginary powers of the sum of two operators satisfying certain conditions.
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47A60
zbMATH DE Number: 4171734
zbMATH Keywords: linear operators on a complex Banach space having bounded imaginary powers
zbMATH Keywords: sufficient condition for a perturbation of positive operators with bounded imaginary powers to have bounded imaginary powers
zbMATH Keywords: growth of the imaginary powers of the sum of two operators
reviewed by: Charles W. Groetsch
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4171734