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20152021
most citedMaharam-Types and Lyapunov's Theorem for Vector Measures on Locally Convex Spaces without Control Measures

8 citations · 13 across the 10 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.FA2016★ 1 cited

Fatou's Lemma, Galerkin Approximations and the Existence of Walrasian Equilibria in Infinite Dimensions

M. Ali Khan, Nobusumi Sagara

This essay has three objectives: (i) to report recent generalizations of Fatou's lemma to multi-functions taking values in a Banach space, and framed in terms of both Bochner and G…

math.OC2016★ 1 cited

Relaxed Large Economies with Infinite-Dimensional Commodity Spaces: The Existence of Walrasian Equilibria

M. Ali Khan, Nobusumi Sagara

Whereas "convexification by aggregation" is a well-understood procedure in mathematical economics, "convexification by randomization" has largely been limited to theories of statis…

math.FA2016★ 2 cited

Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces

Nobusumi Sagara

We formulate bang-bang, purification, and minimization principles in dual Banach spaces with Gelfand integrals and provide a complete characterization of the saturation property of…