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Banach spaces of polynomials without copies of ๐‘™ยน

Banach spaces of polynomials without copies of ๐‘™ยน

Let <italic>X</italic> be a Banach space. For a positive integer <italic>m</italic>, let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper P Subscript w Sub Superscript asterisk Subscript Baseline left-parenthesis Superscript m Baseline upper X Superscript asterisk Baseline right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">P</mml:mi> </mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow โ€ฆ