Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 1, Pages 47-55
doi:10.1155/S104895339700004X

Stochastic approximation-solvability of linear random equations involving numerical ranges

Ram U. Verma1,2

 1International Publications, 12046 Coed Drive, Orlando 32826 , Florida, USA
2Istituto per la Ricerca di Base, Division of Mathematics, Monteroduni (IS), Molise, I-86075, Italy
Received 1 September 1995; Revised 1 February 1996

Abstract

The random (or stochastic) approximation-solvability, based on a projection scheme, of linear random operator equations involving the theory of the numerical range of a bounded linear random operator is considered. The obtained results generalize results with regard to the deterministic approximation-solvability of linear operator equations using the Galerkin convergence method.