An integral for a Banach valued function
Riccobono, Giuseppa
Tatra Mountains Mathematical Publications, Tome 43 (2009), / Harvested from Mathematical Institute

Using partitions of the unity ($(PU)$-partition), a new definition of an integral is given for a function f : [a, b] \to X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

Publié le : 2009-01-01
DOI : https://doi.org/10.2478/tatra.v44i0.37
@article{37,
     title = {An integral for a  Banach valued function},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {43},
     year = {2009},
     doi = {10.2478/tatra.v44i0.37},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/37}
}
Riccobono, Giuseppa. An integral for a  Banach valued function. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v44i0.37. http://gdmltest.u-ga.fr/item/37/