Additive envelopes of continuous functions
β Scribed by Bruno H. Strulovici; Thomas A. Weber
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 257 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a Suslin function , on a domain Y in a Banach space X one can define two envelopes of , related to the pluripotential theory. The first one, denoted by P,, is the supremum of all plurisubharmonic functions less than ,. The value of the other one, denoted by D ,, at some point z is equal to the
b ## Ε½ . gies are analyzed such as bounded sets, denseness of C X m E, the b Mackey property, continuous functionals, etc. Also, the dual of these locally convex spaces and the relation of it to spaces of vector-measures are analyzed.
## Abstract The construction of convex and concave envelopes of realβvalued functions has been of interest in mathematical programming for over 3 decades. Much of this interest stems from the fact that convex and concave envelopes can play important roles in algorithms for solving various discrete