On lineability in vector integration
From MaRDI portal
Publication:1943591
DOI10.1007/s00009-012-0190-8zbMath1260.28009OpenAlexW2017881801MaRDI QIDQ1943591
Publication date: 20 March 2013
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-012-0190-8
Pettis integralMcShane integralBochner integralDunford integralBirkhoff integralsuper-reflexive generated Banach spaceweakly Lindelöf determined Banach spacescalarly measurable function
Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Nonseparable Banach spaces (46B26)
Related Items (2)
Undominated sequences of integrable functions ⋮ Comparison between Birkhoff integral and Gould integral
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The McShane integral in weakly compactly generated spaces
- Boundedness of biorthogonal systems in Banach spaces
- Integration in Hilbert generated Banach spaces
- Lineability, spaceability, and algebrability of certain subsets of function spaces
- Linear structure of sets of divergent sequences and series
- Lineability in subsets of measure and function spaces
- Moduleability, algebraic structures, and nonlinear properties
- Riemann integrability and Lebesgue measurability of the composite function
- Riemann integration in Banach spaces
- On the integration of vector-valued functions
- The generalized McShane integral
- Hilbert-generated spaces.
- When do McShane and Pettis integrals coincide?
- The Birkhoff integral and the property of Bourgain
- Inner characterizations of weakly compactly generated Banach spaces and their relatives
- Algebraic genericity of strict-order integrability
- On the existence of Pettis integrable functions which are not Birkhoff integrable
- The Bourgain property and convex hulls
- On the equivalence of McShane and Pettis integrability in non-separable Banach spaces
- Functional analysis and infinite-dimensional geometry
This page was built for publication: On lineability in vector integration