Parasar Mohanty——Completely Bounded Lp Multipliers

题目：Completely Bounded Lp Multipliers

报告人：Parasar Mohanty（Indian Institite of Technology Kanpur）

时间：6月13日，16:30-17:30

地点：明德楼B区201学术报告厅

摘要：For a locally compact group G the space of left translation invariant operators, or multiplierson L^p(G) (1 ≤ p < ∞) is denoted by M_p(G). L^p(G) is endowed with its canonical operator spacestructure that is induced by complex interpolation. The space of completely bounded multipliersis denoted by M_p^cb(G). Pisier first showed that if G is compact abelian then M_p^cb(G) ⊊ M_p(G)for p ≠ 1, 2. Later on this result was extended to other groups. In this talk we will address thecharacterisation problem of M_p^cb(G) in terms of its pre-dual and some sharp inclusion resultsbetween M_p^cb(G) for different p’s for abelian G.