N-TUPLE ORBITS TENDING TO INFINITY FOR HILBERT SPACE OPERATORS

Authors

  • Sonja Mančevska University "St. Kliment Ohridski" - Bitola image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil21452145m

Keywords:

Hilbert spaces, orbits tending to infinity, \(n\)-tuple orbits, sequences of operators

Abstract

In [2] we gave some results on the existence of a dense set of vectors each having an n-tuple orbit tending to infinity for sequences of mutually commuting bounded linear operators acting on an infinite-dimensional complex Banach space. In this paper we will show that, in the case of operators on an infinite-dimensional complex Hilbert space, this type of set exists under weaker conditions.

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Published

2021-12-03

Issue

Vol. 45 No. 2 (2021): 45 (LXXI) 2 (2021)

Section

Articles

License

Copyright (c) 2021 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. Mančevska, “N-TUPLE ORBITS TENDING TO INFINITY FOR HILBERT SPACE OPERATORS”, Mat. Bilt., vol. 45, no. 2, pp. 143–148, Dec. 2021, doi: 10.37560/matbil21452145m.