A local Hahn–Banach theorem and its applications
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DOI: 10.1007/s00013-018-1280-z
Abstract: An important consequence of the Hahn–Banach theorem says that on any locally convex Hausdorff topological space X, there are sufficiently many continuous linear functionals to separate points of X. In the paper, we establish a… read more here.
Keywords: hahn banach; banach; local hahn; banach theorem ... See more keywords
Order Versions of the Hahn–Banach Theorem and Envelopes. II. Applications to Function Theory
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DOI: 10.1007/s10958-021-05490-4
Abstract: Chapter 1 deals with the problem of the existence of an upper/lower envelope from a convex cone or, more generally, a convex set for functions on the projective limit of vector lattices with values in… read more here.
Keywords: banach theorem; holomorphic functions; versions hahn; function ... See more keywords