Edmond E. Granirer, Functional analytic properties of some Banach algebras related to the Fourier algebra
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Volume 1, Issue 3, 1 December 2017, Pages 299-306
Abstract. This is a survey of some functional analytic properties of the Banach algebras for locally compact groups
obtained in [18,19, 20, 21]. These include Arens regularity, strict containment for fixed
and increasing
, the RNP and optimisation in
, weak sequential completeness, spectral synthesis, etc. It is found that
behaves very differently from
, if
. The results are new even if
or
, the real line or the additive integers.
How to Cite this Article:
Edmond E. Granirer, Functional analytic properties of some Banach algebras related to the Fourier algebra, J. Nonlinear Var. Anal. 1 (2017), 299-306.