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Subjects
47-XX Operator theory
47Lxx Linear spaces and algebras of operators
47L45 Dual algebras; weakly closed singly generated operator algebras

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Champs d'algèbres duales et algèbres duales uniformes d'opérateurs sur l'espace de Hilbert

Gilles Cassier (1993)

Studia Mathematica

In the first part of this work, we establish some general properties of dual algebras and of direct integral dual algebras. In the second part, we give a complete description of singly generated uniform dual algebras of operators.

Connes amenability-like properties

Amin Mahmoodi (2014)

Studia Mathematica

We introduce and study the notions of w*-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra ℓ¹ is not w*-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.

Currently displaying 1 – 2 of 2

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