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2007, br. 30, str. 293-304
On orbits for pairs of operators on an infinite-dimensional complex Hilbert space
(naslov ne postoji na srpskom)
Faculty of Technical Sciences, Bitola, R. Macedonia

Sažetak
(ne postoji na srpskom)
The results presented in this paper are motivated by some of the results obtained by B. Beauzamy in [1, Chap. III] for a single operator on an infinite-dimensional complex Hilbert space that imply existence of a dense set of vectors with orbits tending strongly to infinity. For the case of invertible operator T. one of B. Beauzamy's results implies that the space actually contains a dense set of vectors for which both the orbits under T and its inverse tend strongly to infinity. We are going to show that this is also true for any suitable pair of operators.
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