On the asymptotic behavior of certain infinite-dimensional recurrence sequences

  • Yu. V. Tomilov

Abstract

Under certain conditions imposed on an operator B, we obtain criteria of boundedness of sequences xn+1=Axn+Bbn,n>0, for any x0 and bounded {bn,n0} in infinite-dimensional spaces. The results are given in terms of spectral properties of the operator A.

Published
25.01.1995
How to Cite
Tomilov, Y. V. “On the Asymptotic Behavior of Certain Infinite-Dimensional Recurrence Sequences”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 1, Jan. 1995, pp. 133-7, https://umj.imath.kiev.ua/index.php/umj/article/view/5395.
Section
Short communications