Open AccessInterpolation of sublinear operators which map into Riesz spaces and applications
Author(s) -
Kwok Pun Victor Ho
Publication year - 2019
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14506
Subject(s) - interpolation (computer graphics) , mathematics , sublinear function , interpolation space , pure mathematics , operator theory , banach space , algebra over a field , mathematical analysis , functional analysis , computer science , image (mathematics) , artificial intelligence , biochemistry , chemistry , gene
We establish an interpolation result for sublinear operators which map into Riesz spaces. This result applies to all interpolation functors including the real interpolation and the complex interpolation. One component of our proof which may be of independent interest is the perhaps already known fact that the generalized versions of the Hahn-Banach theorem due to L. V. Kantorovich and M. M. Day also hold for complex vector spaces.