On complex interpolation of compact operators
type: Item
instance of: scholarly article
title: On complex interpolation of compact operators
zbMATH Open document ID: 0864.46011
author: Michael Cwikel
author: Natan Kruglyak
author: Mieczysław Mastyło
published in: Illinois Journal of Mathematics
publication date: 1996-11-07T00:00:00Z
review text: This paper gives various solutions to the question: Given Banach couples \(A=(A_0,A_1)\) and \(B=(B_0,B_1)\) and a bounded linear operator \(T:A\to B\) such that \(T:A_0\to B_0\) is compact, is \(T:[A_0,A_1]_\theta\to[B_0,B_1]_\theta\) compact for \(\theta\in(0,1)\)? Solutions include where \(T\) has a simple form and where \(A_j\) and \(B_j\) have additional properties.
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 47B07
zbMATH DE Number: 942653
zbMATH Keywords: compact operators
zbMATH Keywords: complex interpolation
reviewed by: Joe Howard
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 942653