Document Type
Lecture
Publication Date
3-6-2003
Abstract
Since the earliest days of duality in linear spaces (i.e., vector spaces), support functionals for convex sets have played a critical role in applications. The Hahn-Banach theorem is an example: any closed bounded convex subset of a normed linear space has support functionals. In the early sixties, Bishop and Phelps gave a much sharper theorem, showing that there are lots of support functionals. This talk will discuss results related to the Bishop-Phelps theorem—results that sometimes fairly amaze even people who work in the area.
Relational Format
presentation
Recommended Citation
Diestel, Joe, "Support Planes and a Wonderful Theorem of Bishop and Phelps" (2003). Colloquium. 48.
https://egrove.olemiss.edu/math_colloquium/48
Accessibility Status
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