Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Van Rooij, Arnoud"'
Autor:
van Rooij, Arnoud
In this article, $(X,\, \mathcal{A},\, \mu)$ is a measure apace. A classical result establishes a Riesz isomorphism between $L^1(\mu)^{\sim}$ and $L^{\infty}(\mu)$ in case the measure $\mu$ is $\sigma$-finite. In general, there still is a natural Rie
Externí odkaz:
http://arxiv.org/abs/2004.00745
Autor:
van Rooij, Arnoud, van Zuijlen, Willem
We present a natural way to cover an Archimedean directed ordered vector space $E$ by Banach spaces and extend the notion of Bochner integrability to functions with values in $E$. The resulting set of integrable functions is an Archimedean directed o
Externí odkaz:
http://arxiv.org/abs/1604.06341
Autor:
van Rooij, Arnoud, van Zuijlen, Willem
We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to
Externí odkaz:
http://arxiv.org/abs/1505.05997
Publikováno v:
Lecture Notes-Monograph Series, 2001 Jan 01. 36, 533-546.
Externí odkaz:
https://www.jstor.org/stable/4356130
Publikováno v:
Educational Studies in Mathematics, 2000 Jan 01. 43(3), 293-311.
Externí odkaz:
https://www.jstor.org/stable/3483153
Autor:
Buskes, Gerard, van Rooij, Arnoud
Publikováno v:
Proceedings of the American Mathematical Society, 1996 Feb 01. 124(2), 423-427.
Externí odkaz:
https://www.jstor.org/stable/2161358
Publikováno v:
Transactions of the American Mathematical Society, 1973 Jan 01. 175, 469-482.
Externí odkaz:
https://www.jstor.org/stable/1996089
Autor:
van Rooij, Arnoud
Publikováno v:
Statistica Neerlandica. Jul2002, Vol. 56 Issue 2, p206. 8p.
Autor:
van Rooij, Arnoud, Ruymgaart, Frits
Publikováno v:
Annals of the Institute of Statistical Mathematics; Dec2001, Vol. 53 Issue 4, p781-798, 18p
Publikováno v:
International Journal of Stochastic Analysis; 2000, Vol. 13 Issue 1, p1-14, 14p