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

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.

Bibliographic Details
Published in:Annals of the West University of Timisoara: Mathematics and Computer Science
Main Author: Seimeanu Nicolae Marian
Format: Article
Language:English
Published: Sciendo 2015-12-01
Subjects:
evolution operator
(h,k)-dichotomy
strong (h,k)-dichotomy
weak (h.k)-dichotomy
Online Access:https://doi.org/10.1515/awutm-2015-0020
Description
Summary: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.
ISSN:1841-3307

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