Turkish Journal of Mathematics
DOI
-
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.
Keywords
Algebra, inverse, lattice
First Page
287
Last Page
290
Recommended Citation
UYAR, AYŞE (2005) "On Banach Lattice Algebras," Turkish Journal of Mathematics: Vol. 29: No. 3, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol29/iss3/7