On the fundamental lemma of interpolation theory
type: Item
instance of: scholarly article
title: On the fundamental lemma of interpolation theory
zbMATH Open document ID: 0694.41041
DOI: 10.1016/0021-9045(90)90074-Z
author: Michael Cwikel
author: Björn D. Jawerth
author: Mario Milman
published in: Journal of Approximation Theory
publication date: 1990-01-01T00:00:00Z
review text: The authors provide a new proof of a stronger version of the fundamental lemma of interpolation theory [see \textit{J. Bergh} and \textit{J. Löfström}, Interpolation spaces: An introduction p. 45 (1976; Zbl 0344.46071)], which gives the best known value of the constant \(\beta\), namely \(\beta =3+2\sqrt{2}\) as announced by A. A. Dmitriev. They also obtain a continuous version and an E-functional version of this strong fundamental lemma.
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4136698
zbMATH Keywords: E-functional
reviewed by: Radu Precup
MaRDI profile type: Publication
Wikidata QID: Q125010422
cites work: Q3931915
cites work: Q4112938
cites work: K-divisibility of the K-functional and Calderón couples
cites work: Q3341419
cites work: Abstract K and J spaces
cites work: Q3786960
cites work: Una struttura unitaria in diverse famiglie di spazi funzionali. I
cites work: A common structure in various families of functional spaces. Quasilinear interpolation spaces. II
cites work: Commutator and other second order estimates in real interpolation theory
cites work: Eigenvalue distribution of compact operators
cites work: Reiteration theorems for real interpolation and approximation spaces
cites work: Interpolation of Banach lattices
cites work: Q5569806
description: scientific article; zbMATH DE number 4136698