The exact cardinality of the set of topological left invariant means on an amenable locally compact group
The exact cardinality of the set of topological left invariant means on an amenable locally compact group
The purpose of this note is to prove that if <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is an amenable locally compact noncompact group, then the set of topological left invariant means on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Subscript normal infinity Baseline left-parenthesis …