Interpolation of operators when the extreme spaces are L∞
Jesús Bastero, Francisco J. Ruiz
Abstract
In this paper, equivalence between interpolation properties of linear operators and monotonicity conditions are studied, for a pair (X0,X1) of rearrangement invariant quasi Banach spaces, when the extreme spaces of the interpolation are L∞ and a pair (A0,A1) under some assumptions. Weak and restricted weak intermediate spaces fall in our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
Create a lesson
Related papers
Gelfand numbers of Schatten class embeddings in the quasi-Banach range
Joscha Prochno
A half-line of Schur idempotent norms
Rupert H. Levene
GNS-like representations of a quasi *-algebra in Krein spaces
Giorgia Bellomonte
A centroaffine perspective on improved Brascamp--Lieb and dimensional Brunn--Minkowski inequalities
Sotiris Armeniakos, Alexander V. Kolesnikov, Jacopo Ulivelli
Non-standard behaviour of semibounded forms and their representations
Seppo Hassi, Henk de Snoo
Recovering the Length of a Path from its Signature
Felix Medwed