1. Order bounded orthosymmetric bilinear operator
- Creator:
- Chil, Elmiloud
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- vector lattice, positive bilinear operator, orthosymmetric bilinear operator, and lattice bimorphism
- Language:
- English
- Description:
- It is proved by an order theoretical and purely algebraic method that any order bounded orthosymmetric bilinear operator $b\colon E\times E\rightarrow F$ where $E$ and $F$ are Archimedean vector lattices is symmetric. This leads to a new and short proof of the commutativity of Archimedean almost $f$-algebras.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public