N-TUPLE ORBITS AND N-TUPLE WEAK ORBITS TENDING TO INFINITY

Authors

  • Sonja Mančevska University "St. Kliment Ohridski" - Bitola image/svg+xml Author
  • Marija Orovčanec Ss. Cyril and Methodius University in Skopje image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil23471025m

Keywords:

Banach spaces, bounded linear operators, \(n\)-tuple orbits, \(n\)-tuple weak orbits, spectral radius, approximate point spectrum, joint approximate point spectrum

Abstract

In this paper we give a sufficient condition for \(n\) pairwise commuting and bounded linear operators on an infinite dimensional complex Banach space \(X\), which will imply that the space contains a dense set of vectors each with a corresponding \(n\)-tuple orbit tending to infinity. The same condition is sufficient to imply that the product of \(X\) and its dual space contains a dense set of pairs, each with a corresponding \(n\)-tuple weak orbit tending to infinity.

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Published

2023-10-16

Issue

Vol. 47 No. 1 (2023): 47 (LXXIII) 1 (2023)

Section

Articles

License

Copyright (c) 2023 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
S. Mančevska and M. Orovčanec, “N-TUPLE ORBITS AND N-TUPLE WEAK ORBITS TENDING TO INFINITY”, Mat. Bilt., vol. 47, no. 1, pp. 25–34, Oct. 2023, doi: 10.37560/matbil23471025m.