IJPAM: Volume 47, No. 2 (2008)

ORBITS TENDING TO INFINITY UNDER SEQUENCES
OF OPERATORS ON BANACH SPACES

Sonja Mancevska$^1$, Marija Orovcanec$^2$
$^1$Faculty of Technical Sciences
University ``St. Kliment Ohridski" - Bitola
Ivo Lola Ribar, Bitola, 7000, MACEDONIA
e-mail: sonja.manchevska@uklo.edu.mk
$^2$Institute of Mathematics
University of ``Ss. Cyril and Methodius'' - Skopje
Faculty of Natural Sciences and Mathematics
Gazi Baba, P.O. Box 162, Skopje, 1000, MACEDONIA
e-mail: marijaor@iunona.pmf.ukim.edu.mk


Abstract.In this paper are considered some conditions under which, given a sequence of bounded linear operators $(T_i)_{i \ge 1}$ on an infinite-dimensional complex Banach space $X$, there is a dense set of vectors in $X$ whose orbits under each $T_i$ tend strongly to infinity.

Received: May 16, 2008

AMS Subject Classification: 47A05, 47A25, 47A60

Key Words and Phrases: approximate point spectrum, spectrum, Banach spaces, sequences of operators, orbits tending to infinity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 2