<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper treats three concepts of (<italic>h, k</italic>)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers.</p></abstract>

This paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through examples and counterexamples presented on the Banach space of square-summable sequences of real numbers.

On some dichotomy concepts with different growth rates for evolution operators in Banach spaces

West University of Timişoara, Department of Mathematics, Faculty of Mathematics and Computer Science, V. Pârvan Blv. No. 4, 300223 Timişoara, Romania

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper treats three concepts of (h, k)-dichotomy and their correspondents in the uniform cases. The connections between them are established through...

On some dichotomy concepts with different growth rates for evolution operators in Banach spaces

Publié en ligne: 09 avr. 2016

Pages: 133 - 150

Reçu: 15 oct. 2015

Accepté: 10 déc. 2015

DOI: https://doi.org/10.1515/awutm-2015-0020

Mots clés
evolution operator, (,)-dichotomy, strong (,)-dichotomy, weak ()-dichotomy

© 2015 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On some dichotomy concepts with different growth rates for evolution operators in Banach spaces

Publié en ligne: 09 avr. 2016

Pages: 133 - 150

Reçu: 15 oct. 2015

Accepté: 10 déc. 2015

DOI: https://doi.org/10.1515/awutm-2015-0020

Mots clésevolution operator, (,)-dichotomy, strong (,)-dichotomy, weak ()-dichotomy

© 2015 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
evolution operator, (,)-dichotomy, strong (,)-dichotomy, weak ()-dichotomy