Glasnik matematički, Vol. 43 No. 1, 2008.
Original scientific paper
https://doi.org/10.3336/gm.43.1.13
Orbits tending strongly to infinity under pairs of operators on reflexive Banach spaces
Sonja Mančevska
; Faculty of Technical Sciences, University "St. Kliment Ohridski" - Bitola
Marija Orovčanec
; Faculty of Natural Sciences and Mathematics, Institute of Mathematics, Ss. Ciryl and Methodius University - Skopje
Abstract
In our previous paper, we gave some sufficient conditions under which, for given pair of bounded linear operators T and S on an infinite-dimensional complex Hilbert space H, there is a dense set of vectors in H with orbits under T and S tending strongly to infinity. In this paper we are going to extend these results for pairs of operators on an infinite-dimensional complex and reflexive Banach space.
Keywords
Approximate point spectrum; bounded linear operators; orbits tending strongly to infinity; reflexive Banach space
Hrčak ID:
23540
URI
Publication date:
25.5.2008.
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