PL EN

Preferencje
Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo

Studia Mathematica

2015 | 230 | 3 | 265-279
Tytuł artykułu

Completely bounded lacunary sets for compact non-abelian groups

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we introduce and study the notion of completely bounded $Λ_{p}$ sets ($Λ_{p}^{cb}$ for short) for compact, non-abelian groups G. We characterize $Λ_{p}^{cb}$ sets in terms of completely bounded $L^{p}(G)$ multipliers. We prove that when G is an infinite product of special unitary groups of arbitrarily large dimension, there are sets consisting of representations of unbounded degree that are $Λ_{p}$ sets for all p < ∞, but are not $Λ_{p}^{cb}$ for any p ≥ 4. This is done by showing that the space of completely bounded $L^{p}(G)$ multipliers is a proper subset of the space of $L^{p}(G)$ multipliers.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
265-279
Opis fizyczny
Daty
wydano
2015
Twórcy
autor
• Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1
autor
• Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, U.P., 208016, India
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory