Schur and operator multipliers

• Autorzy: Ivan G. Todorov , Lyudmila Turowska
• Języki publikacji: EN

Abstrakty

EN

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 is presented. Finally, multidimensional versions of Schur and operator multipliers are considered. The article contains a brief discussion of some applications of Schur multipliers, including double operator integrals and multipliers of group algebras.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 47L25: Operator spaces (= matricially normed spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 385-410

Daty

wydano

2010

Twórcy

autor

Ivan G. Todorov

• Department of Pure Mathematics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom

autor

Lyudmila Turowska

• Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg SE-412 96, Sweden

Identyfikatory

DOI

10.4064/bc91-0-23