A representation lattice isomorphism for the peripherical spectrum

Martínez, Josep

doi:10.1090/S0002-9939-1993-1158005-8

A representation lattice isomorphism for the peripherical spectrum
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by Josep Martínez PDF

Proc. Amer. Math. Soc. 119 (1993), 489-492 Request permission

Abstract:

In this paper we construct a representation isometric lattice isomorphism for the peripherical spectrum of a positive operator on a Banach lattice. By a representation lattice homomorphism, we mean that the peripherical spectrum of the operator is identified with the spectrum of the induced isometric lattice homomorphism. A simple proof of a "zero-two" law follows easily from our representation technique.

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