We characterize the relatively sequentially compact subsets of P1 (μ, X), the space of all X-
valued Pettis integrable functions, where X is a separable Banach space, for the weak …

Let E be an ideal of Lo over a σ-finite measure space (Ω, Σ, µ), and let (X,· X) be a real
Banach space. Let E (X) be a subspace of the space Lo (X) of µ-equivalence classes of all …

Let E be an ideal of L0 over a σ-finite measure space (Ω, Σ, µ) and let E′ be the Köthe dual
of E. Let (X,· X) be a real Banach space, and X∗ the Banach dual of X. Let E (X) be a …

Let (E,||·|| E) be a Banach function space, and let (X,||·|| X) be a Banach space. Let. E (X) ñ
stand for the order continuous dual of a Köthe-Bochner space E (X)(ie E (X) ñ consists of all …

Let E be an ideal of L0 over a complete σ-finite rneasure space (Ω, Σ, μ), E′-the Köthe dual
of E with supp E= supp E′= Ω. Let (X,||·|| x) be a real Banach space, X*-the topological dual …

Stability Properties II Page 1 Chapter 5 Stability Properties II One of natural questions about
Kothe-Bochner function spaces is the following: Problem. Let E be a Kothe function space …

Let E be an ideal of L9 over a complete o-finite measure space (Q, X, u), E'-the Köthe dual of
E with supp E= supp E'= Q. Let (X,|| x|) be a real Banach space, X*-the topological dual of X …