Sequences of independent identically distributed functions in rearrangement invariant spaces

• Autorzy: S. V. Astashkin , F. A. Sukochev
• Języki publikacji: EN

Abstrakty

EN

A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.

Kategorie tematyczne

• 60G50: Sums of independent random variables; random walks
• 46A30: Open mapping and closed graph theorems; completeness (including B -, B r -completeness)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 79
• Numer: 1
• Strony: 27-37

Daty

wydano

2008

Twórcy

autor

S. V. Astashkin

• Department of Mathematics and Mechanics, Samara State University, Samara, Russia

autor

F. A. Sukochev

• School of Informatics and Engineering, Flinders University, Bedford Park, SA 5042, Australia

Identyfikatory

DOI

10.4064/bc79-0-1