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Two invariant subspaces and spectral properties of a linear operator

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Abstract

In this note we give conditions for the invertibility of a bounded linear operator T defined on a Banach space X such that X decomposes into a (non direct) sum of two closed T-invariant subspaces.

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References

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Acknowledgments

We would like to sincerely thank the anonymous referee for his help in improving the original version of the draft.

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Authors and Affiliations

  1. Facultad de Ciencias Físico-Matemáticas, BUAP, Río Verde y Av. San Claudio, San Manuel, Puebla, Pue., 72570, Mexico

    S. V. Djordjević

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, Korea

    I. S. Hwang

  3. 8 Redwood Grove, Northfield Avenue, Ealing, London, W5 4SZ, UK

    B. P. Duggal

Authors
  1. S. V. Djordjević
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  2. I. S. Hwang
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  3. B. P. Duggal
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Corresponding author

Correspondence to S. V. Djordjević.

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Communicated by L. Kérchy

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Djordjević, S.V., Hwang, I.S. & Duggal, B.P. Two invariant subspaces and spectral properties of a linear operator. ActaSci.Math. 82, 567–575 (2016). https://doi.org/10.14232/actasm-015-534-x

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  • DOI: https://doi.org/10.14232/actasm-015-534-x

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