NONCOMMUTATIVE DECOMPOSITION-THEOREMS IN RIESZ SPACES

Authors
DELUCIA P MORALES P
Citation
P. Delucia et P. Morales, NONCOMMUTATIVE DECOMPOSITION-THEOREMS IN RIESZ SPACES, Proceedings of the American Mathematical Society, 120(1), 1994, pp. 193-202
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
1
Year of publication
1994
Pages
193 - 202
Database
ISI
SICI code
0002-9939(1994)120:1<193:NDIRS>2.0.ZU;2-7
Abstract
We show that an additive function defined on an orthomodular poset and taking its values in the positive cone of a normed Riesz space admits a Lebesgue Decomposition and a Yosida-Hewitt Decomposition.