Co-EP Banach algebra elements

[EN] In this work, given a unital Banach algebra A and a \in A such that a has a Moore-Penrose inverse a^+, it will be characterized when a^+ a - a a^+ is invertible. A particular subset of this class of objects wil also be studied. In addition, perturbations of this class of elements will be studie...

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Detalles Bibliográficos
Autores: Benítez López, Julio|||0000-0002-3222-3036, Boasso, E., Rakocevic, V.
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/64565
Acceso en línea:https://riunet.upv.es/handle/10251/64565
Access Level:acceso abierto
Palabra clave:Banach algebra
Hermitian Banach algebra element
Moore-Penrose inverse
Co-EP Banach algebra element
Banach space operator
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this work, given a unital Banach algebra A and a \in A such that a has a Moore-Penrose inverse a^+, it will be characterized when a^+ a - a a^+ is invertible. A particular subset of this class of objects wil also be studied. In addition, perturbations of this class of elements will be studied. Finally, the Banach space operator case will also be consider.