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Amenability of function spaces on thick subsemigroups

Amenability of function spaces on thick subsemigroups

Let <italic>F</italic> be a translation invariant left introverted algebra of bounded continuous real-valued functions on a semigroup <italic>S</italic>. Various equivalent versions of the notion of <italic>F</italic>-left thickness of a subsemigroup <italic>T</italic> are presented, and the relationship between the left amenability of <italic>F</italic> and that of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper …