The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals

Authors:	Márcia Federson

Affiliation:	(1) Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CP 668, CEP 13560-970 São Carlos SP, Brazil

Abstract:	We prove two versions of the Monotone Convergence Theorem for the vector integral of Kurzweil, $smallint _R {text{d}}alpha {text{(}}t{text{)}};f(t)$ , where R is a compact interval of $mathbb{R}^n$ , and f are functions with values on L(Z,W) and Z respectively, and Z and W are monotone ordered normed spaces. Analogous results can be obtained for the Kurzweil vector integral, $smallint _R alpha (t);{text{d}}{kern 1pt} f(t)$ , as well as to unbounded intervals R.

Keywords:	Monotone Convergence Theorem Kurzweil vector integral ordered normed spaces
本文献已被 SpringerLink 等数据库收录！