-Struktur in Banachräumen II
L¹ representation of Riesz spaces
Let E be a Riesz space. By defining the spaces and of E, we prove that the center of is and show that the injectivity of the Arens homomorphism m: Z(E)” → Z(E˜) is equivalent to the equality . Finally, we also give some representation of an order continuous Banach lattice E with a weak unit and of the order dual E˜ of E in which are different from the representations appearing in the literature.
Lattice copies of c₀ and in spaces of integrable functions for a vector measure [Book]
Le théorème de Korovkin dans et
Les cônes autopolaires en dimension finie
Les topologies sygma-Lebesgue sur C(X).
We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.
Locally solid topologies on vector valued function spaces.
Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.