ON THE THEORY OF VECTOR-VALUED LOEB MEASURES AND INTEGRATION

被引：7

作者：

SUN, YE ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 104卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-1236(92)90004-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ideas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to give a further study of nonstandard vector measures. An integration theory of real valued functions with respect to Banach space valued measures is developed. Geometric properties of nonstandard hulls are also investigated. Some applications are given. © 1992.

引用

页码：327 / 362

页数：36

共 50 条

[1] ON THE EXTENSIONS OF VECTOR-VALUED LOEB MEASURES
OSSWALD, H
SUN, Y
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (03) : 663 - 675
[2] VECTOR-VALUED LOEB MEASURES AND THE LEWIS INTEGRAL
OSSWALD, H
[J]. MATHEMATICA SCANDINAVICA, 1991, 68 (02) : 247 - 268
[3] LOEB COMPLETION OF INTERNAL VECTOR-VALUED MEASURES
ZIVALJEVIC, RT
[J]. MATHEMATICA SCANDINAVICA, 1985, 56 (02) : 276 - 286
[4] INTEGRATION OF VECTOR-VALUED FUNCTIONS WITH RESPECT TO VECTOR-VALUED MEASURES
DEBIEVE, C
[J]. REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1981, 26 (07): : 943 - 957
[5] INTEGRATION OVER VECTOR-VALUED MEASURES
GOULD, GG
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1965, 15 : 193 - &
[6] Algebraic theory of vector-valued integration
Lucyshyn-Wright, Rory B. B.
[J]. ADVANCES IN MATHEMATICS, 2012, 230 (02) : 552 - 576
[7] VECTOR-VALUED MEASURES
TWEDDLE, I
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 20 : 469 - &
[8] THE INTEGRATION OF OPERATOR-VALUED FUNCTIONS WITH RESPECT TO VECTOR-VALUED MEASURES
Tesko, Volodymyr
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2012, 18 (03): : 288 - 304
[9] INTEGRATION OF VECTOR-VALUED FUNCTIONS WITH RESPECT TO VECTOR MEASURES DEFINED ON δ-RINGS
Chakraborty, N. D.
Basu, Santwana
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2011, 55 (02) : 495 - 508
[10] VECTOR-VALUED CHOQUET THEORY AND TRANSFERENCE OF BOUNDARY MEASURES
BATTY, CJK
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1990, 60 : 530 - 548

← 1 2 3 4 5 →