It is dealt with different (equivalent) versions of Hahn-Banach-type theorems for invariant or equivariant vector lattice-valued operators: extension theorems, sandwich-type theorems, duality theorems, subdifferentials, Moreau-Rockafellar formula, characterization of amenable semigroups, with applications to a Tarski-type theorem for finitely additive and invariant vector lattice-valued set functions.

Hahn-Banach and Duality Type Theorems for Vector Lattice-Valued Operators and Applications to Subdifferential Calculus and Optimization

Boccuto, A.
2023

Abstract

It is dealt with different (equivalent) versions of Hahn-Banach-type theorems for invariant or equivariant vector lattice-valued operators: extension theorems, sandwich-type theorems, duality theorems, subdifferentials, Moreau-Rockafellar formula, characterization of amenable semigroups, with applications to a Tarski-type theorem for finitely additive and invariant vector lattice-valued set functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1588161
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