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Geometric Interpretation of the Essential Minimum Modulus

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Invariant Subspaces and Other Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 6))

Abstract

The present note is devoted to a geometric characteristic, the so called essential minimum modulus. We point out here some analogies with the previous results which became evident after the appearance of R. Bouldin’s paper [2].

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References

  1. Akhiezer, N.I.; Glazman, I.M.: Theory of linear operators on Hilbert space (Russian), Nauka, Moskva, 1966.

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  2. Bouldin, R.: The essential minimum modulus, Indiana Univ. Math. J. 30 (1981), 513–517.

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  3. Makai, E.; Zemánek, J.: Geometrical means of eigenvalues, J. Operator Theory, 7 (1982), 173–178.

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  4. Makai, E.; Zemánek, J.: The surjectivity radius, packing numbers and boundedness below of linear operators, Integral Equations Operator, Theory, submitted.

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  5. Zemánek, J.: Generalisations of the spectral radius formula, Proc. Roy. Irish Acad. 81A (1981), 29–35.

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  6. Zemánek, J.: The essential spectral radius and the Riesz part of spectrum, in Functions, Series, Operators (Proc. Internat. Conf., Budapest, 1980), Colloq.Math.Soc.János Bolyai, to appear.

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© 1982 Springer Basel AG

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Zemánek, J. (1982). Geometric Interpretation of the Essential Minimum Modulus. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_18

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  • DOI: https://doi.org/10.1007/978-3-0348-5445-0_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5447-4

  • Online ISBN: 978-3-0348-5445-0

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