On interpolation of compact operators
type: Item
instance of: scholarly article
title: On interpolation of compact operators
zbMATH Open document ID: 0691.46047
DOI: 10.1007/BF02386372
author: Fernando Cobos
author: Diocesar L. Fernandez
published in: Arkiv för Matematik
publication date: 1989-01-01T00:00:00Z
review text: The authors extend a result of \textit{K. Hayakawa} [J. Math. Soc. Jap. 21, 189-199 (1969; Zbl 0181.137)], and prove: If T is a linear operator such that T: \(A_ 0\to B_ 0\), is bounded, and T: \(A_ 1\to B_ 1\) is compact, and moreover, \(A_ 1\subset A_ 0\), then T: \(\bar A_{\theta,q}\to \bar B_{\theta,q}\) is compact for \(0<\theta <1\), \(0<q\leq \infty\).
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 4131051
reviewed by: Mario Milman
MaRDI profile type: Publication
cites work: Q4112938
cites work: Real interpolation and compact linear operators
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cites work: Interpolation by the real method preserves compactness of operators
cites work: Q3276097
cites work: SCALES OF BANACH SPACES
cites work: On a class of interpolation spaces
cites work: Compact linear mappings between interpolation spaces
cites work: Q4169289
full work available at URL: https://doi.org/10.1007/bf02386372
OpenAlex ID: W1990193736
description: scientific article; zbMATH DE number 4131051