DISCRETE ALMOST PERIODIC OPERATORS

This paper deals with discrete almost periodic linear operators in the space of bounded sequences. We study the invertibility of such operators in that space, as well as in the space of almost periodic sequences. One of main results is a discrete version of wellknown First Favard Theorem, and is bas...

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Autor principal:	Pankov,Alexander
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	Almost periodic sequence discrete operator Favard condition
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100012
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spelling	oai:scielo:S0719-064620130001000122018-10-08DISCRETE ALMOST PERIODIC OPERATORSPankov,Alexander Almost periodic sequence discrete operator Favard condition This paper deals with discrete almost periodic linear operators in the space of bounded sequences. We study the invertibility of such operators in that space, as well as in the space of almost periodic sequences. One of main results is a discrete version of wellknown First Favard Theorem, and is based on the notion of the envelope of an almost periodic operator. Another result is restricted to finite order operators. It characterizes the invertibility in therms of the operator in question only.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100012en10.4067/S0719-06462013000100012
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Almost periodic sequence discrete operator Favard condition
spellingShingle	Almost periodic sequence discrete operator Favard condition Pankov,Alexander DISCRETE ALMOST PERIODIC OPERATORS
description	This paper deals with discrete almost periodic linear operators in the space of bounded sequences. We study the invertibility of such operators in that space, as well as in the space of almost periodic sequences. One of main results is a discrete version of wellknown First Favard Theorem, and is based on the notion of the envelope of an almost periodic operator. Another result is restricted to finite order operators. It characterizes the invertibility in therms of the operator in question only.
author	Pankov,Alexander
author_facet	Pankov,Alexander
author_sort	Pankov,Alexander
title	DISCRETE ALMOST PERIODIC OPERATORS
title_short	DISCRETE ALMOST PERIODIC OPERATORS
title_full	DISCRETE ALMOST PERIODIC OPERATORS
title_fullStr	DISCRETE ALMOST PERIODIC OPERATORS
title_full_unstemmed	DISCRETE ALMOST PERIODIC OPERATORS
title_sort	discrete almost periodic operators
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100012
work_keys_str_mv	AT pankovalexander discretealmostperiodicoperators
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