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Aspects of Local Spectral Theory for Positive Operators

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Positive Operators and Semigroups on Banach Lattices
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Abstract

In this paper we will discuss the local spectral behaviour of a closed, densely defined, linear operator on a Banach space. In particular, we are interested in closed, positive, linear operators, defined on an order dense ideal of a Banach lattice. Moreover, for positive, bounded, linear operators we will treat interpolation properties by means of duality.

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References

  1. I. Colojoaro, C. Foias, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968.

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  2. K.H. Förster, B.\Nagy, On the local spectral theory for positive operators, Operator Theory, Advances and Applications 2 (1988), pp. 71–81.

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  3. P. Meyer-Nieberg, Banach Lattices, Springer-Verlag, Berlin—Heidelberg—New York, 1991.

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Dedicated to G. Maltese on the occasion of his 60th birthday

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© 1992 Springer Science+Business Media Dordrecht

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Meyer-Nieberg, P. (1992). Aspects of Local Spectral Theory for Positive Operators. In: Huijsmans, C.B., Luxemburg, W.A.J. (eds) Positive Operators and Semigroups on Banach Lattices. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2721-1_10

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  • DOI: https://doi.org/10.1007/978-94-017-2721-1_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4205-7

  • Online ISBN: 978-94-017-2721-1

  • eBook Packages: Springer Book Archive

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