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arXiv · 1711.11558

Valuations on Banach lattices

Pedro Tradacete·Ignacio Villanueva
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Abstract

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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Pedro Tradacete, Ignacio Villanueva. 2017-11-30. Valuations on Banach lattices. https://arxiv.org/abs/1711.11558

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