Product of lattice-valued measures on topological spaces

Autor:	Surjit Singh Khurana
Rok vydání:	2008
Předmět:	Discrete mathematics Pure mathematics General Mathematics Baire set Hausdorff space Product measure Baire space Uniqueness Topological space Baire measure Sigma additivity Mathematics
Zdroj:	Mathematica Slovaca. 58:309-314
ISSN:	1337-2211 0139-9918
DOI:	10.2478/s12175-008-0076-1
Popis:	X1 and X 2 are completely regular Hausdorff spaces, E 1, E 2 and F are Dedekind complete Banach lattices, 〈·,·〉: E 1 × E 2 → F is a bilinear mapping, and μ 1 and μ 2 are, respectively, E 1 and E 2 valued positive, countably additive Baire or Borel measures (countable additivity relative to order convergence) on X 1 and X 2. Under certain conditions the existence and uniqueness of the F-valued, positive, product measure is proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::095020fb4cf565af8dc7b37e631a5b7c https://doi.org/10.2478/s12175-008-0076-1 Zobrazit plný text záznamu Full text from SpringerLink