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Complemented copies of ๐‘โ‚€ in ๐ฟ^{โˆž}(๐œ‡,๐ธ)

Complemented copies of ๐‘โ‚€ in ๐ฟ^{โˆž}(๐œ‡,๐ธ)

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E"> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding="application/x-tex">E</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a Banach space, and let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis normal upper Omega comma normal upper Sigma comma mu right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi mathvariant="normal">ฮฉ<!-- ฮฉ --></mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="normal">ฮฃ<!-- ฮฃ --></mml:mi> <mml:mo>,</mml:mo> <mml:mi>ฮผ<!-- โ€ฆ