Interpolation of sublinear operators which map into Riesz spaces and applications

Ho, Kwok-Pun

doi:10.1090/proc/14506

Interpolation of sublinear operators which map into Riesz spaces and applications
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Proc. Amer. Math. Soc. 147 (2019), 3479-3492 Request permission

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.

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