Strong Ditkin algebras without bounded relative units

In a previous note the author gave an example of a strong Ditkin algebra which does not have bounded relative units in the sense of Dales. In this note we investigate a certain family of Banach function algebras on the one point compactification of the natural numbers, and see that within this family are many easier examples of strong Ditkin algebras without bounded relative units in the sense of Dales.Comment: 7 pages, plain tex, some extra comments and reference

Weak Sequential Completeness of Uniform Algebras

We prove that a uniform algebra is weakly sequentially complete if and only if it is finite-dimensional

Microwave flaw detector Patent

Surface defect detection by reflected microwave radiation patter

Scalar Field Inhomogeneous Cosmologies

Some exact solutions for the Einstein field equations corresponding to inhomogeneous $G_2$ cosmologies with an exponential-potential scalar field which generalize solutions obtained previously are considered. Several particular cases are studied and the properties related to generalized inflation and asymptotic behaviour of the models are discussed.Comment: 21 pages LaTeX, 3 figures appended as a uuencoded compressed tar fil