Perturbation Theory for Property ( V E ) and Tensor Product

Elvis Aponte, José Sanabria and Luis Vásquez
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Elvis Aponte: Escuela Superior Politécnica del Litoral (ESPOL), Facultad de Ciencias Naturales y Matemáticas, Departamento de Matemáticas, Campus Gustavo Galindo km. 30.5 Vía Perimetral, Guayaquil EC090112, Ecuador
José Sanabria: Departamento de Matemáticas, Facultad de Educación y Ciencias, Universidad de Sucre, Carrera 28 No. 5-267 Barrio Puerta Roja, Sincelejo 700001, Colombia
Luis Vásquez: Instituto Superior de Formación Docente Salomé Ureña-ISFODOSU, Recinto Emilio Prud’Homme, Calle R.C. Tolentino # 51, Esquina 16 de Agosto, Los Pepines, Santiago de los Caballeros 51000, Dominican Republic

Mathematics, 2021, vol. 9, issue 21, 1-12

Abstract: Given a complex Banach space X , we investigate the stable character of the property ( V E ) for a bounded linear operator T : X ? X , under commuting perturbations that are Riesz, compact, algebraic and hereditarily polaroid. We also analyze sufficient conditions that allow the transfer of property ( V E ) from the tensorial factors T and S to its tensor product.

Keywords: semi-Fredholm operator; property (V E ); commuting perturbations; tensor product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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