Publication: Asymptotic Smoothness, Convex Envelopes and Polynomial Norms
Loading...
Full text at PDC
Publication Date
2017
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Heldermann Verlag
Citations
Exportar
Abstract
We introduce a suitable notion of asymptotic smoothness on infinite dimensional Banach spaces, and we prove that, under some structural restrictions on the space, the convex envelope of an asymptotically smooth function is asymptotically smooth. Furthermore, we study convexity and smoothness properties of polynomial norms, and we obtain that a polynomial norm of degree N has modulus of convexity of power type N.
Description
The following articles are so far only available in electronic form.
The printed version will be published in December 2017.