<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

Published Online: Apr 09, 2016

Page range: 133 - 150

Received: Oct 15, 2015

Accepted: Dec 10, 2015

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

Keywords
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

Published Online: Apr 09, 2016

Page range: 133 - 150

Received: Oct 15, 2015

Accepted: Dec 10, 2015

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

Keywordsevolution 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.

Keywords
evolution operator, (,)-dichotomy, strong (,)-dichotomy, weak ()-dichotomy