INFINITE-DIMENSI ONAL RECURRENCE SEQUENCES
Yuri Tomilov · 1995
UDC 517.98 Under certain conditions imposed on an operator B, we obtain criteria of boundedness of sequences x n +1 = A x n + B b n,n >- 0, for any x 0 and bounded { b n, n -> 0 } in infinite-dimensional spaces. The results are given in terms of spectral properties of the operator A. In the present paper, we study the asymptotic behavior of the recurrence sequences