Maps preserving Fredholm or semi-Fredholm elements relative to some ideal

We consider the Calkin algebra C R(A) and the Fredholm theory in a Banach algebra A, relative to some fixed ideal F of A. Our aim is to study linear maps between unital Banach algebras A and B which are surjective up to the inessential elements relative to F, and preserve Fredholm or semi-Fredholm e...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Rostamani,Mohadeseh, Hejazian,Shirin
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Linear preservers Fredholm element semi-Fredholm element inessential ideal relative Calkin algebra
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100003
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0719-06462015000100003
record_format	dspace
spelling	oai:scielo:S0719-064620150001000032018-10-08Maps preserving Fredholm or semi-Fredholm elements relative to some idealRostamani,MohadesehHejazian,Shirin Linear preservers Fredholm element semi-Fredholm element inessential ideal relative Calkin algebra We consider the Calkin algebra C R(A) and the Fredholm theory in a Banach algebra A, relative to some fixed ideal F of A. Our aim is to study linear maps between unital Banach algebras A and B which are surjective up to the inessential elements relative to F, and preserve Fredholm or semi-Fredholm elements in both directions or equivalently different relatively essential spectral sets such as essential spectrum, left or right essential spectrum, the boundary of essential spectrum or the full essential spectrum. We characterize such mappings when one of C R(A) or C R(B) is commutative and also investigate similar problems when A is assumed to be a unital C*-algebra of real rank zero and B is an arbitrary Banach algebra.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.1 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100003en10.4067/S0719-06462015000100003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Linear preservers Fredholm element semi-Fredholm element inessential ideal relative Calkin algebra
spellingShingle	Linear preservers Fredholm element semi-Fredholm element inessential ideal relative Calkin algebra Rostamani,Mohadeseh Hejazian,Shirin Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
description	We consider the Calkin algebra C R(A) and the Fredholm theory in a Banach algebra A, relative to some fixed ideal F of A. Our aim is to study linear maps between unital Banach algebras A and B which are surjective up to the inessential elements relative to F, and preserve Fredholm or semi-Fredholm elements in both directions or equivalently different relatively essential spectral sets such as essential spectrum, left or right essential spectrum, the boundary of essential spectrum or the full essential spectrum. We characterize such mappings when one of C R(A) or C R(B) is commutative and also investigate similar problems when A is assumed to be a unital C*-algebra of real rank zero and B is an arbitrary Banach algebra.
author	Rostamani,Mohadeseh Hejazian,Shirin
author_facet	Rostamani,Mohadeseh Hejazian,Shirin
author_sort	Rostamani,Mohadeseh
title	Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
title_short	Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
title_full	Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
title_fullStr	Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
title_full_unstemmed	Maps preserving Fredholm or semi-Fredholm elements relative to some ideal
title_sort	maps preserving fredholm or semi-fredholm elements relative to some ideal
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100003
work_keys_str_mv	AT rostamanimohadeseh mapspreservingfredholmorsemifredholmelementsrelativetosomeideal AT hejazianshirin mapspreservingfredholmorsemifredholmelementsrelativetosomeideal
_version_	1714206791424802816

Maps preserving Fredholm or semi-Fredholm elements relative to some ideal

Ejemplares similares