On the complemented disk algebra

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

On the Imbedding of a Right Complemented Algebra into Ambrose's 77*-algebra

Let A be a Banach algebra with a Hilbert space norm (norm defined by a scalar product). We shall call A a right complemented algebra if it has the property that the orthogonal complement of a right ideal is again a right ideal. This notion was introduced in the author's doctoral thesis [5]. It was proved that under certain additional assumptions every right complemented algebra is left compleme...

Linear Discrete Operators on the Disk Algebra

Let A be the disk algebra. In this paper we address the following question: Under what conditions on the points zk,n ∈ D do there exist operators Ln : A → A such that

compact endomorphisms of certain subalgebras of the disk algebra

On the Complemented

Rosenthal [R] introduced the Lp space Xp in 1971. Among its interesting properties are that it contains and is contained in isomorphs of lp ⊕ l2, but is not isomorphic to a complemented subspace of lp⊕ l2. These properties have made Xp rather resistant to standard approaches to classifying its complemented subspaces. For example it was first proved that Xp was primary in [JO2] where the device ...