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Perturbation Theory for Property ( V E ) and Tensor Product

Author

Listed:
  • 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)

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.

Suggested Citation

  • Elvis Aponte & José Sanabria & Luis Vásquez, 2021. "Perturbation Theory for Property ( V E ) and Tensor Product," Mathematics, MDPI, vol. 9(21), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2775-:d:670170
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    Cited by:

    1. Elvis Aponte & Lourival Lima & José Sanabria, 2025. "The Property (EA) and Local Spectral Theory," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

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