Interpolation of sublinear operators which map into Riesz spaces and applications | Zendy

KwokPun Ho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Interpolation of sublinear operators which map into Riesz spaces and applications

Author(s) -

KwokPun Ho

Publication year - 2018

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research