Valuations on Banach lattices
classification
🧮 math.FA
math.MG
keywords
valuationsspacesbanachcontinuouslatticesboundednesscompactcomplements
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We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including $L_p(\mu)$, Orlicz spaces and spaces $C(K)$ of continuous functions on a compact Hausdorff space. In particular, we study decomposition properties, boundedness and integral representation of continuous valuations.
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