On weakly measurable stochastic processes and absolutely summing operators
A characterization of absolutely summing operators by means of McShane integrable stochastic processes is considered.
A scalar Volterra derivative for the PoU-integral
A weak form of the Henstock Lemma for the -integrable functions is given. This allows to prove the existence of a scalar Volterra derivative for the -integral. Also the -integrable functions are characterized by means of Pettis integrability and a condition involving finite pseudopartitions.
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
Convergence of Banach lattice valued stochastic processes without the Radon-Nikodym property.
Page 1