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On Banach Lattice Algebras, Ayşe Uyar
On Banach Lattice Algebras, Ayşe Uyar
Turkish Journal of Mathematics
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.