The occasional distributivity of ∘ over+e and the change of variable formula for conjugate functions

DOI10.1016/0362-546X(90)90071-NzbMath0722.46002OpenAlexW1974008164MaRDI QIDQ3209625

Stephen Simons

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90071-n

zbMATH Keywords

Hahn-Banach type theoremsublinear functionalinf- convolutionmetrizable locally convex spacesepisumchange of variable and sum formulas for conjugate functionsclosed range theoremscs-convex and cs-complete setssandwich type extension theorem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (8)

Macro-hybrid dual optimal control of transport flow through elastoviscoplastic porous media ⋮ Some formulae of convex and nonconvex duality ⋮ Weaker conditions for subdifferential calculus of convex functions ⋮ A note on subdifferentials of convex composite functionals ⋮ Multidomain optimal control of variational subpotential mixed evolution inclusions ⋮ Optimal control of evolution mixed variational inclusions ⋮ A new geometric condition for Fenchel's duality in infinite dimensional spaces ⋮ On some open problems in convex analysis

Cites Work

• Functional analysis and partial differential equations. I
• The open mapping and closed range theorems
• Operators with closed range
• On CS ‐closed sets
• Conjugate functions and subdifferentials in nonnormed situations for operators with complete graphs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The occasional distributivity of ∘ over+e and the change of variable formula for conjugate functions