Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Approximate point spectrum; bounded linear operators; orbits tending strongly to infinity; reflexive Banach space

Hrčak ID:

23540

URI

https://hrcak.srce.hr/23540

Datum izdavanja:

25.5.2008.

Posjeta: 1.178 *