**I. Matsak, A. Plichko**

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

**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.