Displaying similar documents to “Idempotents of Fourier Multiplier Algebra.”

The space of maximal Fourier multipliers as a dual space

Naohito Tomita (2006)

Studia Mathematica

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Figà-Talamanca characterized the space of Fourier multipliers as the dual space of a certain Banach space. In this paper, we characterize the space of maximal Fourier multipliers as a dual space.

A Note on L-sets

Gero Fendler (2002)

Colloquium Mathematicae

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Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.

Multipliers with closed range on commutative semisimple Banach algebras

A. Ülger (2002)

Studia Mathematica

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Let A be a commutative semisimple Banach algebra, Δ(A) its Gelfand spectrum, T a multiplier on A and T̂ its Gelfand transform. We study the following problems. (a) When is δ(T) = inf{|T̂(f)|: f ∈ Δ(A), T̂(f) ≠ 0} > 0? (b) When is the range T(A) of T closed in A and does it have a bounded approximate identity? (c) How to characterize the idempotent multipliers in terms of subsets of Δ(A)?