Absolute norms on vector lattices
Open Access
- 1 June 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 27 (2) , 215-222
- https://doi.org/10.1017/s0013091500022318
Abstract
Recall that a norm and monotone if and monotone if If the norm is both absolute and monotone, itis called a Riesz norm. It is easy to show that a norm is Riesz if and only if whenever A Banach lattice is a vector lattice equipped with a complete Riesznorm.Keywords
This publication has 2 references indexed in Scilit:
- Banach Lattices and Positive OperatorsPublished by Springer Nature ,1974
- Absolute and monotonic normsNumerische Mathematik, 1961