In: Tatra Mountains Mathematical Publications, vol. 76, no. 2
Antonio Boccuto
Details:
Year, pages: 2020, 11 - 34
Language: eng
Keywords:
vector lattice, amenability, Hahn-Banach theorem,
sandwich theorem, Fenchel duality theorem, subgradient,
subdifferential, Moreau-Rockafellar formula,
Farkas theorem, Kuhn-Tucker theorem
Article type: Mathematics - Real Functions
Document type: Scientific paper
About article:
We prove Hahn-Banach, sandwich and extension theorems for vector lattice-valued operators, equivariant with respect to a given group $G$ of homomorphisms. As applications and consequences, we present some Fenchel duality and separation theorems, a version of the Moreau-Rockafellar formula and some Farkas and Kuhn-Tucker-type optimization results. Finally, we prove that the obtained results are equivalent to the amenability of $G$.
How to cite:
ISO 690:
Boccuto, A. 2020. Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications. In Tatra Mountains Mathematical Publications, vol. 76, no.2, pp. 11-34. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0015
APA:
Boccuto, A. (2020). Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications. Tatra Mountains Mathematical Publications, 76(2), 11-34. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2019-0015
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 10. 2020
Rights:
The Creative Commons Attribution-NC-ND 4.0 International Public License