Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions
DOI10.1007/BF03323086zbMath0813.46001OpenAlexW2049571683MaRDI QIDQ1193228
Miguel Florencio, Pedro J. Paúl, Antonio Fernández, Santiago Díaz, Drewnowski, Lech
Publication date: 27 September 1992
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03323086
ultrabornologicalStone's representation theoreminjective tensor productnuclearitybornologicalbarrelled and nuclearbarrelledness conditionsquasi-barrelledsimple functions
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Vector-valued set functions, measures and integrals (28B05) Barrelled spaces, bornological spaces (46A08) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Barrelledness of the space of vector valued and simple functions
- Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\)
- Tensor products and spaces of vector-valued continuous functions
- Barrelledness conditions on \(S(\Sigma;E)\) and \(B(\Sigma;E)\)
- Summable sequences and topological properties of \(m_0(I)\)
- Spaces of vector-valued continuous functions
- Inductive limits and ε-tensor products.
- Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces
- Barrelledness conditions on \(c_0(E)\)
This page was built for publication: Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions