Product of vector measures on topological spaces

Khurana, Surjit Singh. "Product of vector measures on topological spaces." Commentationes Mathematicae Universitatis Carolinae 49.3 (2008): 421-435. <http://eudml.org/doc/250444>.

@article{Khurana2008,
abstract = {For $i=(1,2)$, let $X_\{i\}$ be completely regular Hausdorff spaces, $E_\{i\}$ quasi-complete locally convex spaces, $E=E_\{1\}\breve\{\otimes \}E_\{2\}$, the completion of the their injective tensor product, $C_\{b\}(X_\{i\})$ the spaces of all bounded, scalar-valued continuous functions on $X_\{i\}$, and $\mu _\{i\}$$E_\{i\}$-valued Baire measures on $X_\{i\}$. Under certain conditions we determine the existence of the $E$-valued product measure $\mu _\{1\}\otimes \mu _\{2\}$ and prove some properties of these measures.},
author = {Khurana, Surjit Singh},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {injective tensor product; product of measures; tight measures; $\tau $-smooth measures; separable measures; Fubini theorem; injective tensor product; product of measures; tight measures; -smooth measures; separable measures; Fubini theorem},
language = {eng},
number = {3},
pages = {421-435},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Product of vector measures on topological spaces},
url = {http://eudml.org/doc/250444},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Khurana, Surjit Singh
TI - Product of vector measures on topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 3
SP - 421
EP - 435
AB - For $i=(1,2)$, let $X_{i}$ be completely regular Hausdorff spaces, $E_{i}$ quasi-complete locally convex spaces, $E=E_{1}\breve{\otimes }E_{2}$, the completion of the their injective tensor product, $C_{b}(X_{i})$ the spaces of all bounded, scalar-valued continuous functions on $X_{i}$, and $\mu _{i}$$E_{i}$-valued Baire measures on $X_{i}$. Under certain conditions we determine the existence of the $E$-valued product measure $\mu _{1}\otimes \mu _{2}$ and prove some properties of these measures.
LA - eng
KW - injective tensor product; product of measures; tight measures; $\tau $-smooth measures; separable measures; Fubini theorem; injective tensor product; product of measures; tight measures; -smooth measures; separable measures; Fubini theorem
UR - http://eudml.org/doc/250444
ER -