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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 connectioncan be made in some cases between the two types of construction, viainterpolating sequences (in fact these are at the basis of the secondconstruction). Our approach has natural generalizations where H $\infty$ isreplaced by an arbitrary dual space and $\ell ^{\infty }$ by $\ell^{p}$ (1$\le$ p $\le$ $\infty$) relying on the notions of generalized interpolatingsequence and bounded linear extension. An old (very simple but unpublished sofar) construction of bases which are Besselian but not Hilbertian finds anatural place in this development.

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