Title	On the geometry of projective tensor products
Creator	Werner, Elisabeth
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-01T09:01
Description	We study the volume ratio of the projective tensor products $\ell^n_p\otimes_{\pi}\ell_q^n\otimes_{\pi}\ell_r^n$ with $1\leq p\leq q \leq r \leq \infty$. We obtain asymptotic formulas that are sharp in almost all cases. From the Bourgain-Milman bound on the volume ratio of Banach spaces in terms of their cotype 2 constant, we obtain, as a consequence of our estimates, information on the cotype of these 3-fold projective tensor products. Our results naturally generalize to k-fold products.
Extent	39 minutes
Subject	Mathematics; Probability theory and stochastic processes; Statistics; Probability / statistical mechanics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Case Western Reserve University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-11-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0360763
URI	http://hdl.handle.net/2429/63752
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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