Search results for "multimeasures"

MR3266136 Porcello, G., Decomposability in the space of HKP-integrable functions. Math. Nachr. 287 (2014), no. 14-15, 17331744. 26A39 (26E25 28B20 54…

2015

The notion of decomposability for families of Banach space valued functions is a certain kind of generalization of convexity. Decomposability is usually de- ned (in a space, or some subspaces, of measurable functions as the space of Bochner integrable or Pettis integrable functions) with respect to a -algebra of sets. In the paper under review the author introduces the notion of decom- posability for vector-valued functions integrable in Henstock sense. Since the Henstock-type integrals act only on intervals, the author modi es in a slight but essential way the classical"de nition of decomposability: instead of a - algebra of sets, one has to work with the ring A generated by the subinterva…

Multimeasures and integration of multifunctions in Banach spaces

2014