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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.