Singular twisted sums generated by complex interpolation

Singular twisted sums generated by complex interpolation

Although our methods are quite general, we are mainly concerned with the choice of X as either a Hilbert space or Ferenczi's uniformly convex Hereditarily Indecomposable space. In the first case, we construct new singular twisted Hilbert spaces (which includes the only known example so far: the...

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Veröffentlicht in:Transactions of the American Mathematical Society 2017-07, Vol.369 (7), p.4671-4708
Hauptverfasser: CASTILLO, JESÚS M. F., FERENCZI, VALENTIN, GONZÁLEZ, MANUEL
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FERENCZI, VALENTIN
GONZÁLEZ, MANUEL
description Although our methods are quite general, we are mainly concerned with the choice of X as either a Hilbert space or Ferenczi's uniformly convex Hereditarily Indecomposable space. In the first case, we construct new singular twisted Hilbert spaces (which includes the only known example so far: the Kalton-Peck space Z_2). In the second case we obtain the first example of an H.I. twisted sum of an H.I. space.
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title Singular twisted sums generated by complex interpolation
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