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The Operator Hilbert Space OH Complex Interpolation and Tensor Norms Book PDF Summary

In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banach space can be embedded isometrically into [italic capital]B([italic capital]H) (with H being Hilbert). One of the main results is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (which we denote by [italic capitals]OH) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces.

Detail Book of The Operator Hilbert Space OH Complex Interpolation and Tensor Norms PDF

The Operator Hilbert Space  OH   Complex Interpolation and Tensor Norms
  • Author : Gilles Pisier
  • Release : 20 September 1996
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804742
  • Genre : Mathematics
  • Total Page : 119 pages
  • Language : English
  • PDF File Size : 19,6 Mb

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