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Decompositions of the maximal ideal space of ๐ฟ^{โˆž}

Decompositions of the maximal ideal space of ๐ฟ^{โˆž}

In this paper we show the existence of one point maximal antisymmetric sets for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Superscript normal infinity Baseline plus upper C"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>H</mml:mi> <mml:mi mathvariant="normal">โˆž<!-- โˆž --></mml:mi> </mml:msup> </mml:mrow> <mml:mo>+</mml:mo> <mml:mi>C</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">{H^\infty } + C</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.