Abstract
We characterize extreme positive contractions on \(C_{0}\left( X\right) \)’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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Acknowledgements
The authors acknowledge support from Research Laboratory LATAO Grant LR11ES12.
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Boulabiar, K., Hajji, R. Extreme Positive Operators on Topologically Truncated Banach Lattices. Mediterr. J. Math. 19, 200 (2022). https://doi.org/10.1007/s00009-022-02115-1
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DOI: https://doi.org/10.1007/s00009-022-02115-1
Keywords
- Almost Markov operator
- Banach lattice
- convex set
- extreme point
- locally compact
- Markov operator
- positive operator
- truncation
- truncation homomorphism
- topologically truncated
- unit cone
- vanishing at infinity