[Banach] Abstract of a paper by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch

This is an announcement for the paper "A remark on the Mahler conjecture: local minimality of the unit cube" by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch.

Abstract: We prove that the unit cube $B^n_{\infty}$ is a strict local minimizer for the Mahler volume product $vol_n(K)vol_n(K^*)$ in the class of origin symmetric convex bodies endowed with the Banach-Mazur distance.

Archive classification: math.FA

Mathematics Subject Classification: 52A15, 52A21

The source file(s), MahlerNPRZ_May_3.tex: 26147 bytes, is(are) stored in gzipped form as 0905.0867.gz with size 9kb. The corresponding postcript file has gzipped size 89kb.

Submitted from: zvavitch@math.kent.edu

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