Saturierte Algebren.
The present article is a survey of known results on Schur and operator multipliers. It starts with the classical description of Schur multipliers due to Grothendieck, followed by a discussion of measurable Schur multipliers and a generalisation of Grothendieck's Theorem due to Peller. Thereafter, a non-commutative version of Schur multipliers, called operator multipliers and introduced by Kissin and Schulman, is discussed, and a characterisation extending the description in the commutative case...
We introduce and study two new classes of Banach spaces, the so-called sequentially Right Banach spaces of order , and those defined by the dual property, the sequentially Right Banach spaces of order for . These classes of Banach spaces are characterized by the notions of -limited sets in the corresponding dual space and subsets of the involved Banach space, respectively. In particular, we investigate whether the injective tensor product of a Banach space and a reflexive Banach space...
We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.