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The Bochner Mean Square Deviation and Law of Large Numbers for Squares of Random Elements in Banach Lattices

  • Ivan Matsak and Anatolij Plichko
Published/Copyright: February 26, 2010
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Georgian Mathematical Journal
From the journal Volume 9 Issue 1

Abstract

A Bochner mean square deviation for random elements of 2-convex Banach lattices is introduced and investigated. Results, analogous to the law of large numbers for squares of random elements are proved in some classes of Köthe function spaces.

Received: 2000-07-14
Revised: 2001-12-03
Published Online: 2010-02-26
Published in Print: 2002-March

© Heldermann Verlag

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