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
I. Colojoaro, C. Foias, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968.
K.H. Förster, B. Nagy, On the local spectral theory for positive operators, Operator Theory, Advances and Applications 2 (1988), pp. 71–81.
P. Meyer-Nieberg, Banach Lattices, Springer-Verlag, Berlin-Heidelberg-New York, 1991.
H.H. Schaefer, Banach Lattices and Positive Operators, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
A.C. Zaanen, Riesz spaces II, North-Holland, Amsterdam, 1984.
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Dedicated to G. Maltese on the occasion of his 60th birthday
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Meyer-Nieberg, P. Aspects of local spectral theory for positive operators. Acta Appl Math 27, 91–100 (1992). https://doi.org/10.1007/BF00046640
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DOI: https://doi.org/10.1007/BF00046640