**
Czechoslovak Mathematical Journal, Vol. 53, No. 4, pp. 1009-1015, 2003
**

#
On Pettis integrability

##
J. C. Ferrando

Depto. Estadistica y Matematica Aplicada, Universidad Miguel Hernandez, E-03202 Elche (Alicante), Spain, e-mail: ` jc.ferrando@umh.es`

**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.

**Keywords:** Pettis integrable function space, copy of $c_0$, copy of $\ell_{\infty}$, countably additive vector measure, WRNP, CRP

**Classification (MSC 2000):** 46G10, 28B05

**Full text** available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).

Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.

Subscribers of Springer (formerly Kluwer) need to access the articles on their site, which is http://www.springeronline.com/10587.