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CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS

  • Sanchez-Perales, Salvador (Facultad de Ciencias Fisico-Matematicas, BUAP) ;
  • Djordjevic, Slavissa V. (Facultad de Ciencias Fisico-Matematicas, BUAP)
  • 투고 : 2010.07.20
  • 발행 : 2011.11.30

초록

In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set $\{T\}+\mathcal{K}(X)$, where $T{\in}\mathcal{B}(X)$ and $\mathcal{K}(X)$ is the set of compact operators.

참고문헌

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피인용 문헌

  1. Continuity and Invariance of the Sacker–Sell Spectrum vol.28, pp.2, 2016, https://doi.org/10.1007/s10884-015-9515-1
  2. Spectral continuity using ν -convergence vol.433, pp.1, 2016, https://doi.org/10.1016/j.jmaa.2015.07.069
  3. The perturbation classes problem for generalized Drazin invertible operators I 2017, https://doi.org/10.1007/s12215-017-0302-1