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Trace Class Norm Inequalities

  • M. W. Wong
Part of the Operator Theory: Advances and Applications book series (OT, volume 136)

Abstract

As a sequel to Chapter 13, we prove in this chapter that the constant \(\tfrac{4}{{{{c}_{\varphi }}}}\) in Proposition 13.1 can be improved to \(\tfrac{1}{{{{c}_{\varphi }}}}\) and obtain a lower bound for the norm ‖L F,φ S 1 of the localization operator L F,φ : XX in S 1 in terms of the function F φ on G defined by
$$\begin{array}{*{20}{c}} {{{F}_{\varphi }}(g) = ({{L}_{{F,\varphi }}}\pi (g)\varphi ,\pi (g)\varphi ),} & {g \in G.} \\ \end{array}$$
(14.1)
gG.

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Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • M. W. Wong
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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