Convergence of Quadratic Forms in p-Stable Random Variables and Theta sub p-Radonifying Operators

摘要

Necessary and sufficient conditions are given for the almost sure convergence of a quadratic form where (M sub j), is a sequence of i.i.d. p-stable random variables. A connection is established between the convergence of the quadratic form and a radonifying property of the infinite matrix operator (f sub kj). (Author)