Subspaces of $\displaystyle H^{p}$ linearly homeomorphic to $l^{p}.$

10 Jul 2016 Amar Eric IMB Chevreau Bernard IMB Chalendar Isabelle ICJ

We present two fast constructions of weak*-copies of $\ell ^\infty$ in $H^{\infty}$ and show that such copies are necessarily weak*-complemented. Moreover, via a Paley-Wiener type of stability theorem for bases, a connection can be made in some cases between the two types of construction, via interpolating sequences (in fact these are at the basis of the second construction)... (read more)

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