Interpolation of sublinear operators which map into Riesz spaces and applications-Reference-Cited by-同舟云学术

Interpolation of sublinear operators which map into Riesz spaces and applications

Published:2019-04-08 Issue:8 Volume:147 Page:3479-3492
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ho Kwok-Pun

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2019-147-08/S0002-9939-2019-14506-8/S0002-9939-2019-14506-8.pdf

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