1. On Pettis integrability
- Creator:
- Ferrando, Juan Carlos
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Pettis integrable function space, copy of $c_0$, copy of $\ell _{\infty }$, countably additive vector measure, WRNP, and CRP
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public