On some probabilistic inequalities in Banach spaces

Speaker(s)

Krzysztof Oleszkiewicz

Affiliation

Uniwersytet Warszawski

Date

March 12, 2015, 12:15 p.m.

Room

room 3260

Seminar

Seminar of Probability Group

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The following question was brought to my attention by Assaf Naor:
for a given separable Banach space (F,||*||), what is the smallest
constant K in the inequlity below such that

inf_{z in F} (E||X-z||+E||Y-z||) \leq K E||X-Y||

for any pair of independent integrable F-valued random vectors X and Y. The answer depends on the geometry of F. We will discuss this and some
related problems.

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