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On some probabilistic inequalities in Banach spaces
- Prelegent(ci)
- Krzysztof Oleszkiewicz
- Afiliacja
- Uniwersytet Warszawski
- Termin
- 12 marca 2015 12:15
- Pokój
- p. 3260
- Seminarium
- Seminarium Zakładu Rachunku Prawdopodobieństwa
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.
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.
