Abstract
This paper represents a slightly extended version of the eponymous talk given at the VII Colloque Franco-Allemand d’Optimisation. My aim is to illustrate the tight connection between the sequential properties of a Banach space and the corresponding properties of the convex functions and sets which may or may not be defined on that space.
Research supported by NSERC and the Shrum Endowment at Simon Fraser University
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Borwein, J.M. (1995). A Survey of Examples of Convex Functions and Classifications of Normed Spaces. In: Durier, R., Michelot, C. (eds) Recent Developments in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 429. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46823-0_5
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DOI: https://doi.org/10.1007/978-3-642-46823-0_5
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