Semiclosed multivalued projections

A multivalued projection is an idempotent linear relation with invariant domain. We characterize multivalued projections that are operator ranges (called semiclosed) and provide several formulae of them. Moreover, we study the decomposability and continuity of multivalued projections, and describe n...

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Detalles Bibliográficos
Autores: Arias, Maria Laura, Contino, Maximiliano, Maestripieri, Alejandra Laura, Marcantognini Palacios, Stefania Alma María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/232833
Acceso en línea:http://hdl.handle.net/11336/232833
Access Level:acceso abierto
Palabra clave:LINEAR RELATIONS
MULTIVALUED PROJECTIONS
OPERATOR RANGES
SEMICLOSED IDEMPOTENTS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:A multivalued projection is an idempotent linear relation with invariant domain. We characterize multivalued projections that are operator ranges (called semiclosed) and provide several formulae of them. Moreover, we study the decomposability and continuity of multivalued projections, and describe nilpotent relations.