Results 21 to 30 of about 12,325 (304)
A cone-theoretic barycenter existence theorem [PDF]
Logical Methods in Computer ScienceWe show that every continuous valuation on a locally convex, locally convex-compact, sober topological cone $\mathfrak{C}$ has a barycenter. This barycenter is unique, and the barycenter map $\beta$ is continuous, hence is the structure map of a $\mathbf
Jean Goubault-Larrecq, Xiaodong Jia
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Some properties of set-valued sine families [PDF]
Opuscula Mathematica, 2012 Let \(\{F_t : t \geq 0\}\) be a family of continuous additive set-valued functions defined on a convex cone \(K\) in a normed linear space \(X\) with nonempty convex compact values in \(X\). It is shown that (under some assumptions) a regular sine family
Ewelina Mainka-Niemczyk
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Extensions of convex functionals on convex cones [PDF]
Applicationes Mathematicae, 1998 Summary: We prove that under some topological assumptions (e.g. if \(M\) has nonempty interior in \(X\)), a convex cone \(M\) in a linear topological space \(X\) is a linear subspace if and only if each convex functional on \(M\) has a convex extension on the whole space \(X\).
Ignaczak, E., Paszkiewicz, A.
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Strong Subjectivism in the Marxian Theory of Exploitation: A Critique [PDF]
This paper critically analyses the strongly subjectivist approach to exploitation theory recently proposed by Matsuo ([7]), in the context of general convex economies with heterogeneous agents.
Yoshihara, Naoki, Veneziani, Roberto
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A note on Gordan's theorem over cone domains
International Journal of Mathematics and Mathematical Sciences, 1982 This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.
Brad Skarpness, V. A. Sposito
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Advanced Materials, EarlyView.We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena +6 more
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When is a convex cone the cone of all the half-lines contained in a convex set?
, 2009 International audienceIn this article we prove that every convex cone V of a real vector space X possessing an uncountable Hamel basis may be expressed as the cone of all the half-lines contained within some convex subset C of X (in other words, V is the
Volle, Michel, Ernst, Emil
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Cone asymptotes of convex sets
Extracta Mathematicae, 2020 Based on the notion of plane asymptote, we introduce the new concept of cone asymptote of a set in the n-dimensional Euclidean space. We discuss the existence and describe some families of cone asymptotes.
V. Soltan
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Advanced Materials Interfaces, EarlyView.Schematic illustration of a sustainable nanofabrication process: chitosan derived from natural sources is used as a biodegradable thin film resist, patterned via Constant Pulse‐Assisted Force Lithography (CP‐AFL) to create tunable nanogrooves. These grooves template gold nanowire formation, enabling high‐resolution nanopatterning under ambient ...
Paolo Pellegrino +7 more
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A Riesz representation theorem for cone-valued functions
Abstract and Applied Analysis, 1999 We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-
Walter Roth
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