Extreme Positive Operators on Topologically Truncated Banach Lattices

Extreme Positive Operators on Topologically Truncated Banach Lattices

We characterize extreme positive contractions on C 0 X ’s in terms of lattices and we extend the results to the more general setting of topologically truncated Banach lattices via a new Kakutani Type Representation theorem.

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Veröffentlicht in:Mediterranean journal of mathematics 2022-10, Vol.19 (5), Article 200
Hauptverfasser: Boulabiar, Karim, Hajji, Rawaa
Format: Artikel
Sprache:eng
Schlagworte:
Lattices
Mathematics
Mathematics and Statistics
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Zusammenfassung:We characterize extreme positive contractions on C 0 X ’s in terms of lattices and we extend the results to the more general setting of topologically truncated Banach lattices via a new Kakutani Type Representation theorem.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-022-02115-1