In this note we extend the concept of compact-friendliness, defined in the literature for operators on a Banach lattice (Abramovich-Aliprantis-Burkinshaw), to the case of operators on Sobolev spaces and derive the existence of invariant subspaces for compact-friendlyoperators of this type.

Invariant subspaces for compact friendly operators in Sobolev spaces

MARTELLOTTI, Anna
2004

Abstract

In this note we extend the concept of compact-friendliness, defined in the literature for operators on a Banach lattice (Abramovich-Aliprantis-Burkinshaw), to the case of operators on Sobolev spaces and derive the existence of invariant subspaces for compact-friendlyoperators of this type.
2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/160673
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