Ein Banach-Stone-Satz für adaptierte Vektorverbände und Algebren.
Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.