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Spectral Continuity Relative to Invariant Subspaces

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Abstract

The “continuity” of the spectrum of an operator, its restriction, and its quotient, relative to an invariant subspace, are related in a familiar fashion.

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Authors and Affiliations

  1. Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, 69000, Oaxaca, Mexico

    Salvador Sánchez-Perales

  2. Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Río Verde y Av. San Claudio, San Manuel, 72570, Puebla, PUE, Mexico

    Slaviša V. Djordjević

Authors
  1. Salvador Sánchez-Perales
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  2. Slaviša V. Djordjević
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Correspondence to Salvador Sánchez-Perales.

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Communicated by Nikolai Vasilevski.

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Sánchez-Perales, S., Djordjević, S.V. Spectral Continuity Relative to Invariant Subspaces. Complex Anal. Oper. Theory 11, 927–941 (2017). https://doi.org/10.1007/s11785-016-0620-x

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  • DOI: https://doi.org/10.1007/s11785-016-0620-x

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