The problem of classifying semigroups of endomorphisms of type [italic] I [subscript] infinity
symbol factors to outer conjugacy is reduced to the problem of classifying certain simpler …

Christensen and Evans showed that, in the language of Hilbert modules, a bounded
derivation on a von Neumann algebra with values in a two-sided von Neumann module (ie a …

The theory of compact and of Fredholm operators of a Hilbert space has been generalized in
various directions by several authors (Cordes [2, 3], Neubauer [12, 13] and others). In the …

In this paper we study the problem of dilating unital completely positive (CP) semigroups
(quantum dynamical semigroups) to weak Markov flows and then to semigroups of …

We discuss here representation and Fredholm theory for C∗-algebras generated by
commuting isometries. More particularly, for n commuting isometries {V j: 1⩽ j⩽ n} on …

This paper deals with the concept of a continuous direct sum of Hilbert spaces and with
certain of the problems which lead to this concept, namely, the problem of decomposition of …

We treat the algebra of all covariant tensors over a complex Hilbert space SC and
particularly the quotient algebras of it modulo certain completely characteristic ideals. These …

If a is a densely defined sectorial form in a Hilbert space which is possibly not closable, then
we associate in a natural way a holomorphic semigroup generator with a. This allows us to …

Our objective in this sequel to-correspondences, of two fundamental facts about isometries
on Hilbert space: The Wold decomposition theorem and Beurling's theorem, and to apply …

The ${C^\ast} $-algebra $\mathfrak {W} $ generated by the Wiener-Hopf operators defined
over a subsemigroup of a locally compact group is shown to be the image of a groupoid …