<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper considers three general trichotomy concepts for noninvertible linear discrete-time systems in Banach spaces. Characterizations of these concepts are obtained from the point of view of the projections sequences. Some illustrative examples are given in order to prove that these concepts are distinct.</p></abstract>

This paper considers three general trichotomy concepts for noninvertible linear discrete-time systems in Banach spaces. Characterizations of these concepts are obtained from the point of view of the projections sequences. Some illustrative examples are given in order to prove that these concepts are distinct.

On some Concepts of (a; b; c)-Trichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

Department of Mathematics West University of Timişoara V. Pârvan Blvd. No. 4 300223 Timişoara Romania

University Eftimic Murgu Reşiţa no. 1-4 Piaţa Traian Vuia 320085 Reşiţa 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 considers three general trichotomy concepts for noninvertible linear discrete-time systems in Banach spaces. Characterizations of these concepts are...

On some Concepts of (a; b; c)-Trichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

Published Online: Mar 25, 2015

Page range: 145 - 155

Received: Oct 23, 2014

Accepted: Feb 05, 2015

DOI: https://doi.org/10.2478/awutm-2014-0016

Keywords
Strong (a, b, c)-trichotomy, (a, b, c)-trichotomy, weak (a, b, c)-trichotomy linear discrete-time systems

© Annals of West University of Timisoara - Mathematics

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

On some Concepts of (a; b; c)-Trichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces

Published Online: Mar 25, 2015

Page range: 145 - 155

Received: Oct 23, 2014

Accepted: Feb 05, 2015

DOI: https://doi.org/10.2478/awutm-2014-0016

KeywordsStrong (a, b, c)-trichotomy, (a, b, c)-trichotomy, weak (a, b, c)-trichotomy linear discrete-time systems

© Annals of West University of Timisoara - Mathematics

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

Keywords
Strong (a, b, c)-trichotomy, (a, b, c)-trichotomy, weak (a, b, c)-trichotomy linear discrete-time systems