On Absolutely Segregated Algebras

A Note on Absolutely Unorderable Combinatory Algebras

Plotkin [16] has conjectured that there exists an absolutely unorderable combinatory algebra, namely a combinatory algebra which cannot be embedded in another combinatory algebra admitting a non-trivial compatible partial order. In this paper we prove that a wide class of combinatory algebras admits extensions with a non-trivial compatible partial order.

Absolutely Summing Operators on Non Commutative C-algebras and Applications

Let E be a Banach space that does not contain any copy of l and A be a non commutative C∗-algebra. We prove that every absolutely summing operator from A into E∗ is compact, thus answering a question of Pe lczynski. As application, we show that if G is a compact metrizable abelian group and Λ is a Riesz subset of its dual then every countably additiveA∗-valued measure with bounded variation and...

Some Absolutely Continuous Representations of Function Algebras

In this paper we study some absolutely continuous representations of function algebras, which are weak -spectral in the sense of [5] and [6], for a scalar > 0. Precisely we investigate certain conditions for the existence of a spectral -dilation of such representation. Among others we obtain di¤erent results which generalize the corresponding theorems of D. Gaşpar [3]. Full text

On Absolutely Continuous Transformations

On absolutely universal embeddings

It is well known that, given a point-line geometry Γ and a projective embedding ε : Γ → PG(V ), if dim(V ) equals the size of a generating set of Γ, then ε is not derived from any other embedding. Thus, if Γ admits an absolutely universal embedding, then ε is absolutely universal. In this paper, without assuming the existence of any absolutely universal embedding, we give sufficient conditions ...