Oleg Zubelevich
The Massera Theorem in Banach Space
(200K, pdf)

ABSTRACT.  In the present paper we consider a discrete dynamical 
system generated by a bounded affine mapping on a Banach space or on a Montel 
locally convex space. 
We show that if this dynamical system has a bounded trajectory then it 
has a periodic one. Different applications are considered.