Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property
DOI10.1007/s13398-016-0327-xzbMath1387.46016OpenAlexW2514147038MaRDI QIDQ2412815
Jose M. Calabuig, Enrique Alfonso Sánchez-Pérez, L. Agud, Sebastián Lajara
Publication date: 27 October 2017
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-016-0327-x
Banach function spaceBishop-Phelps-Bollobás property\(L^p\) of a vector measureBishop-Phelps-Bollobás property for bilinear formsGâteaux and Fréchet (uniformly) smooth norm
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Vector-valued measures and integration (46G10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces
- A Bishop-Phelps-Bollobás type theorem for uniform algebras
- The Bishop-Phelps-Bollobás property for operators from \(\mathcal C(K)\) to uniformly convex spaces
- The Bishop-Phelps-Bollobás property for bilinear forms and polynomials
- On the smoothness of \(L^p\) of a positive vector measure
- The Bishop-Phelps-Bollobás theorem for operators
- Optimal domain and integral extension of operators, acting in function spaces
- The weak topology on \(L^p\) of a vector measure
- The Bishop-Phelps-Bollobás theorem fails for bilinear forms on \(l_{1}\times l_{1}\)
- Inner characterizations of weakly compactly generated Banach spaces and their relatives
- Banach space theory. The basis for linear and nonlinear analysis
- The Bishop-Phelps-Bollobás Theorem for bilinear forms
- Smooth renormings of the Lebesgue–Bochner function space L1(μ,X)
- The Bishop-Phelps-Bollobás theorem and Asplund operators
- A proof that every Banach space is subreflexive
- Smooth analysis in Banach spaces
- An Extension to the Theorem of Bishop and Phelps
- Monotonicity and rotundity properties in Banach lattices
- The structure of uniformly Gâteaux smooth Banach spaces
This page was built for publication: Differentiability of \(L^p\) of a vector measure and applications to the Bishop-Phelps-Bollobás property