Invariant Subspaces for Compact-Friendly Operators in Sobolev Spaces

Author： Isidori Maria Cristina   Martellotti Anna  

Publisher： Springer Publishing Company

ISSN： 1385-1292

Source： Positivity, Vol.8, Iss.2, 2004-06, pp. : 109-122

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Abstract

In this note we extend the concept of compact-friendlyness, defined in the literature for operators on a Banach lattice, to the case of operators on Sobolev spaces and derive the existence of invariant subspaces for compact-friendly operators of this type.

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