Interpolation functor and computability

نویسنده

  • Atsushi Yoshikawa
چکیده

Computability of Banach spaces is discussed. A compatible relation is shown to hold between the complex interpolation spaces of Calder) on (Studia Math. 24 (1964) 113) and the computability structures introduced by Pour-El and Richards (Computability in Analysis and Physics, Springer, Berlin, 1989). Namely, it is veri5ed that Calder) on’s original construction of the complex interpolation functor is valid in the context of computability if a mild e7ective separability condition is ful5lled by a compatible couple of Banach spaces. c © 2002 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 284  شماره 

صفحات  -

تاریخ انتشار 2002