Extension of Invariant Linear Functionals

DOI10.2307/2041521zbMath0391.46004OpenAlexW4250665314MaRDI QIDQ4172458

Ky Fan

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041521

zbMATH Keywords

Fixed Point TheoremsOrbitExtensions of FunctionalsGroups of EndomorphismsInvariant Linear FunctionalsLinear ContractionsLinear IsometriesMackey-Topology

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Groups and semigroups of linear operators (47D03) General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20)

Related Items (4)

Orbituary: ``Ky Fan (1914--2010), he spent every waking moment thinking about mathematics ⋮ Hermitian and algebraic $^*$-algebras, representable extensions of positive functionals ⋮ Amenability and Hahn-Banach extension property for set valued mappings ⋮ Locally pseudoconvex inductive limit of sequences of locally pseudoconvex algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orbits of semi-groups of contractions and groups of isometries
• A geometric proof of Ryll-Nardzewski’s fixed point theorem
• Two fixed-point theorems concerning bicompact convex sets

This page was built for publication: Extension of Invariant Linear Functionals