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Invariant subspaces in Banach spaces of analytic functions

Invariant subspaces in Banach spaces of analytic functions

We study the invariant subspace structure of the operator of multiplication by <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="z"> <mml:semantics> <mml:mi>z</mml:mi> <mml:annotation encoding="application/x-tex">z</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M Subscript z"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>z</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{M_z}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, on a class of Banach …