Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections
type: Item
instance of: scholarly article
title: Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections
zbMATH Open document ID: 1301.93083
DOI: 10.1155/2014/196345
author: Mihai Gabriel Babuţia
author: M. Kovács
author: Mărioara Lăpădat
author: Mihail Megan
published in: Journal of Operators
publication date: 2014-11-19T00:00:00Z
review text: Summary: The present paper treats a concept of \((h,k)\)-dichotomy for linear discrete systems. Sufficient conditions for the \(k\)-boundedness of the projection sequences that give the dichotomy are presented and an illustrative example shows the connection between the growth of the system and the bound of the sequence of projections. Thus, the growth of the system that is assumed in the theorems is essential.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6371136
zbMATH Keywords: \((h,k)\)-dichotomy
zbMATH Keywords: linear discrete systems
zbMATH Keywords: \(k\)-boundedness of the projection sequences
Wikidata QID: Q59061260
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/196345
OpenAlex ID: W1978015239
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description: scientific article; zbMATH DE number 6371136