On Pettis integrability

Ferrando, Juan Carlos. "On Pettis integrability." Czechoslovak Mathematical Journal 53.4 (2003): 1009-1015. <http://eudml.org/doc/30831>.

@article{Ferrando2003,
abstract = {Assuming that $(\Omega , \Sigma , \mu )$ is a complete probability space and $X$ a Banach space, in this paper we investigate the problem of the $X$-inheritance of certain copies of $c_0$ or $\ell _\{\infty \}$ in the linear space of all [classes of] $X$-valued $\mu $-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.},
author = {Ferrando, Juan Carlos},
journal = {Czechoslovak Mathematical Journal},
keywords = {Pettis integrable function space; copy of $c_0$; copy of $\ell _\{\infty \}$; countably additive vector measure; WRNP; CRP; Pettis integrable function space; copy of ; copy of ; countably additive vector measure; WRNP; CRP},
language = {eng},
number = {4},
pages = {1009-1015},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Pettis integrability},
url = {http://eudml.org/doc/30831},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Ferrando, Juan Carlos
TI - On Pettis integrability
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 1009
EP - 1015
AB - Assuming that $(\Omega , \Sigma , \mu )$ is a complete probability space and $X$ a Banach space, in this paper we investigate the problem of the $X$-inheritance of certain copies of $c_0$ or $\ell _{\infty }$ in the linear space of all [classes of] $X$-valued $\mu $-weakly measurable Pettis integrable functions equipped with the usual semivariation norm.
LA - eng
KW - Pettis integrable function space; copy of $c_0$; copy of $\ell _{\infty }$; countably additive vector measure; WRNP; CRP; Pettis integrable function space; copy of ; copy of ; countably additive vector measure; WRNP; CRP
UR - http://eudml.org/doc/30831
ER -