Subdifferential calculus for invariant linear ordered vector space-valued operators and applications
Keyword(s):
We give a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity. As consequences, we deduce equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension theorems, Fenchel duality, Farkas and Kuhn-Tucker-type minimization results and subdifferential formulas in the context of invariance. As applications, we give Tarski-type extension theorems and related examples for vector lattice-valued invariant probabilities, defined on suitable kinds of events.
1963 ◽
Vol 14
(3)
◽
pp. 438
◽
1961 ◽
Vol s1-36
(1)
◽
pp. 436-438
◽
Keyword(s):
Keyword(s):
1972 ◽
Vol 71
(2)
◽
pp. 321-327
◽
Keyword(s):
1955 ◽
Vol s1-30
(2)
◽
pp. 144-153
◽
Keyword(s):
1963 ◽
Vol 14
(3)
◽
pp. 438-438
Keyword(s):