Commutator estimates for interpolation scales with holomorphic structure
type: Item
instance of: scholarly article
title: Commutator estimates for interpolation scales with holomorphic structure
zbMATH Open document ID: 1217.46014
author: Ming Fan
published in: Complex Analysis and Operator Theory
publication date: 2010-10-04T00:00:00Z
review text: The author considers the complex interpolation method \([X_0, X_1]_\theta\) and investigates how the interpolation norm of commutators depends explicitly on \(\theta.\) Similar results are proved for the general analytic interpolation, which includes the complex and real interpolation methods. An application to the spectral behaviour of bounded linear operators under interpolation is also given.
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 5795251
zbMATH Keywords: holomorphic structure
zbMATH Keywords: interpolation
zbMATH Keywords: commutator
zbMATH Keywords: mixed reiteration
zbMATH Keywords: spectrum
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
full work available at URL: s11785-009-0016-2
OpenAlex ID: W2089451284
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DOI: 10.1007/S11785-009-0016-2
description: scientific article; zbMATH DE number 5795251