Dergiler / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 3
On Banach Lattice Algebras
- Sayfa
- 287–290
- DOI
- —
Özet
In this study, without using the assumption a-1 > 0, it is shown that E is lattice - and algebra - isometric isomorphic to the reals R whenever E is a Banach lattice f-algebra with unit e, |e| = 1, in which for every a > 0 the inverse a-1 exists. Subsequently, an alternative proof to a result of Huijsmans is given for Banach lattice algebras.
Abstract
In this study, without using the assumption a-1 > 0, it is shown that E is lattice - and algebra - isometric isomorphic to the reals R whenever E is a Banach lattice f-algebra with unit e, |e| = 1, in which for every a > 0 the inverse a-1 exists. Subsequently, an alternative proof to a result of Huijsmans is given for Banach lattice algebras.