Rockafellar, Part VIII: Convex Algebra

Sections 38–39: the algebra of convex bifunctions — addition, scalar multiplication, application, composition, and how each behaves under taking adjoints — and convex processes, the multivalued maps whose graphs are convex cones containing the origin. This module imports the two section modules and adds nothing of its own.

§	module	subject
38	Part8.Section38	The Algebra of Bifunctions
39	Part8.Section39	Convex Processes

Every numbered result of the Part is proved in the backbone over a general real vector space, so both surface modules are thin specialisations. The book's closing pages sketch an algebra of oriented processes and a proposed duality for multivalued maps without proof; nothing there is numbered.

References

• R. T. Rockafellar, Convex Analysis, Princeton University Press, 1970, §§38–39.