The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms PDF full book. Access full book title The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms by Gilles Pisier. Download full books in PDF and EPUB format.

The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms

The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms PDF Author: Gilles Pisier
Publisher: American Mathematical Soc.
ISBN: 082180474X
Category : Mathematics
Languages : en
Pages : 119

Get Book Here

Book Description
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.