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Journal articles
The inf-convolution as a law of monoid. An analogue to the Banach-Stone theorem.
Abstract : In this article we study the operation of inf-convolution in a new direction. We prove that the inf-convolution gives a monoid structure to the space of convex $k$-Lipschitz and bounded from below real-valued functions on a Banach space $X$. Then we show that the structure of the space $X$ is completely determined by the structure of this monoid by establishing an analogue to the Banach-Stone theorem. Some applications will be given.
https://hal-paris1.archives-ouvertes.fr/hal-01071027
Contributor : Mohammed Bachir <>
Submitted on : Thursday, October 2, 2014 - 10:40:02 PM
Last modification on : Wednesday, June 10, 2020 - 6:44:23 PM
Contributor : Mohammed Bachir <>
Submitted on : Thursday, October 2, 2014 - 10:40:02 PM
Last modification on : Wednesday, June 10, 2020 - 6:44:23 PM