The Herz-Schur multiplier norm of sets satisfying the Leinert condition

• Autorzy: Éric Ricard , Ana-Maria Stan
• Języki publikacji: EN

Abstrakty

EN

It is well known that in a free group 𝔽, one has $||χ_{E}||_{M_{cb}A(𝔽)} ≤ 2$, where E is the set of all the generators. We show that the (completely) bounded multiplier norm of any set satisfying the Leinert condition depends only on its cardinality. Consequently, based on a result of Wysoczański, we obtain a formula for $||χ_{E}||_{M_{cb}A(𝔽)}$.

Kategorie tematyczne

• 46L07: Operator spaces and completely bounded maps
• 47L07: Convex sets and cones of operators
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 124
• Numer: 2
• Strony: 255-274

Daty

wydano

2011

Twórcy

autor

Éric Ricard

• Laboratoire de Département de Mathématiques, Université Franche-Comté, 25000 Besançon, France

autor

Ana-Maria Stan

• Laboratoire de Département de Mathématiques, Université Franche-Comté, Besançon, 25000, France

Identyfikatory

DOI

10.4064/cm124-2-10