Further characterizations of property (V-sub Pi) and some applications

• Aponte, Elvis ^[1] ; Macías, Jhixon ^[1] ; Sanabria, José Eduardo ^[2] ; Soto, José ^[3]
  1. [1] Escuela Superior Politecnica del Litoral

     Escuela Superior Politecnica del Litoral

     Guayaquil, Ecuador

     
  2. [2] Universidad de Sucre

     Universidad de Sucre

     Colombia

     
  3. [3] Universidad Centroccidental Lisandro Alvarado

     Universidad Centroccidental Lisandro Alvarado

     Venezuela

     

  Mostrar afiliaciones +
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1435-1456
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-06-0088
• Títulos paralelos:
  • Caracterizaciones adicionales de la propiedad $ (V_{\Pi}) $ y algunas aplicaciones
• Enlaces
  • Texto completo
• Resumen

  • We carry out characterizations with techniques provided by the local spectral theory of bounded linear operators T  L(X), X infinite dimensional complex Banach space, which verify property (V-sub Pi) introduced by Sanabria et al. (Open Math. 16(1) (2018), 289-297). We also carry out the study for polaroid operators and Drazin invertible operators that verify the property mentioned above.

• Referencias bibliográficas
  • P. Aiena, Fredholm and local spectral theory, with applications to multipliers. Dordrecht: Springer, 2004, doi: 10.1007/1-4020-2525-4
  • P. Aiena, “Quasi Fredholm operators and localized SVEP”, Acta scientiarum mathematicarum (Szeged), vol. 73, no. 1-2, pp. 251-263, 2007. [On...
  • P. Aiena, Fredholm and local spectral theory II: with application to weyl-type theorems. Cham: Springer International Publishing, 2019, doi:...
  • P. Aiena, M. T. Biondi, and C. Carpintero, “On Drazin invertibility”, Proceedings of the American Mathematical Society, vol. 136, pp. 2839-2848,...
  • P. Aiena, J. Guillén, and P. Peña, “Property (R) for bounded linear operators”, Mediterranean journal of mathematics, vol. 8, no. 4, pp. 491-508,...
  • P. Aiena, J. Guillén and P. Peña, “Property (gR) and perturbations”, Acta scientiarum mathematicarum (Szeged), vol. 78, no. 3-4, pp. 569-588,...
  • P. Aiena and J. E. Sanabria, “On left and right poles of the resolvent”, Acta scientiarum mathematicarum (Szeged), vol. 74, no. 3-4, pp. 669-687,...
  • P. Aiena and S. Triolo, “Fredholm spectra and Weyl type theorems for Drazin invertible operators”, Mediterranean journal of mathematics, vol....
  • P. Aiena and S. Triolo, “Weyl type theorems on Banach spaces under compact perturbations”, Mediterranean journal of mathematics, vol. 15,...
  • M. Amouch and M. Berkani, “On the property (gw)”, Mediterranean journal of mathematics, vol. 5, no. 3, pp. 371-378, Sep. 2008, doi: 10.1007/s00009-008-0156-z
  • M. Berkani, “On a class of quasi-Fredholm operators”, Integral equations and operator theory, vol. 34, no. 1, pp. 244-249, Jun. 1999, doi:...
  • M. Berkani and M. Sarih, “On semi B-Fredholm operators”, Glasgow mathematics journal, vol. 43, no. 3, pp. 457-465, May2001, doi: 10.1017/S0017089501030075
  • H. Heuser, Functional analysis, Chichester, NY: Wiley, 1982.
  • K. B. Laursen and M. M. Neumann, Introduction to local spectral theory. Oxford: Clarendon Press, 2000.
  • V. Müller, Spectral theory of linear operators and spectral systems on Banach algebras. Basel: Birkhauser, 2003.
  • V. Rakocevic, “On a class of operators”, Matematicki vesnik, vol. 37, no. 92, pp. 423-426, 1985. [On line]. Available: https://bit.ly/3jATLiQ.
  • M. H. M. Rashid and T. Prasad, “Property (Sw) for bounded linear operators”, Asian-European journal of mathematics, vol. 8, no. 01, Art ID....
  • J. Sanabria, C. Carpintero, E. Rosas, and O. García, “On property (Saw) and others spectral properties type Weyl-Browder theorems”, Revista...
  • J. Sanabria, L. Vásquez, C. Carpintero, E. Rosas,and O. García, “On strong variations of Weyl type theorems”, Acta mathematica Universitatis...
  • J. Sanabria, C. Carpintero, J. Rodríguez, E. Rosas, and O. García, “On new strong versions of Browder type theorems”, Open mathematics, vol....