Abstract of a paper by
3 Dec
2017
3 Dec
'17
3:11 p.m.
This is an announcement for the paper “Valuations on Banach lattices” by Pedro Tradacete<https://arxiv.org/find/math/1/au:+Tradacete_P/0/1/0/all/0/1>, Ignacio Villanueva<https://arxiv.org/find/math/1/au:+Villanueva_I/0/1/0/all/0/1>. 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. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1711.11558
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Bentuo Zheng (bzheng)