scholarly journals Decomposition theorems for vector measures

1969 ◽  
Vol 21 (1) ◽  
pp. 27-27 ◽  
Author(s):  
James K. Brooks
Keyword(s):  
Vector Measures ◽  
Decomposition Theorems

scholarly journals Decompositions of vector measures in Riesz spaces and Banach lattices

1986 ◽  
Vol 29 (1) ◽  
pp. 23-39 ◽  
Author(s):  
Klaus D. Schmidt
Keyword(s):  
Bounded Variation ◽  
Banach Lattice ◽  
Decomposition Theorem ◽  
Riesz Space ◽  
Jordan Decomposition ◽  
Countable Additivity ◽  
Vector Measures ◽  
Central Result ◽  
Decomposition Theorems ◽  
Natural Way

The present paper is mainly concerned with decomposition theorems of the Jordan, Yosida-Hewitt, and Lebesgue type for vector measures of bounded variation in a Banach lattice having property (P). The central result is the Jordan decomposition theorem due to which these vector measures may alternately be regarded as order bounded vector measures in an order complete Riesz space or as vector measures of bounded variation in a Banach space. For both classes of vector measures, properties like countable additivity, purely finite additivity, absolute continuity, and singularity can be defined in a natural way and lead to decomposition theorems of the Yosida-Hewitt and Lebesgue type. In the Banach lattice case, these lattice theoretical and topological decomposition theorems can be compared and combined.

ON RADON VECTOR MEASURES

1995 ◽  
Vol 21 (1) ◽  
pp. 74 ◽  
Author(s):  
Panchapagesan
Keyword(s):  
Vector Measures

Modules of Families of Vector Measures on a Riemann Surface

2018 ◽  
Vol 234 (5) ◽  
pp. 608-615
Author(s):  
Yu. V. Dymchenko ◽  
V. A. Shlyk
Keyword(s):  
Riemann Surface ◽  
Vector Measures

scholarly journals Product vector measures via Bartle integrals

1983 ◽  
Vol 96 (1) ◽  
pp. 180-195 ◽  
Author(s):  
R Rao Chivukula ◽  
A.S Sastry
Keyword(s):  
Vector Measures ◽  
Product Vector

Linear operators and vector measures. II

1975 ◽  
Vol 144 (1) ◽  
pp. 45-53 ◽  
Author(s):  
James K. Brooks ◽  
Paul W. Lewis
Keyword(s):  
Linear Operators ◽  
Vector Measures

scholarly journals Vector measures and Mackey topologies

2012 ◽  
Vol 23 (1-2) ◽  
pp. 113-122 ◽  
Author(s):  
Marian Nowak
Keyword(s):  
Vector Measures ◽  
Mackey Topologies
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