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Item Details
Title:
THE OPERATOR HILBERT SPACE OH, COMPLEX INTERPOLATION AND TENSOR NORMS
By:
Gilles Pisier
Format:
Paperback
List price:
£41.95
Our price:
£40.69
Discount:
3
% off
You save:
£1.26
ISBN 10:
082180474X
ISBN 13:
9780821804742
Availability:
Publisher out of stock. This item may be subject to delays or cancellation.
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Stock:
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available
Publisher:
AMERICAN MATHEMATICAL SOCIETY
Pub. date:
15 July, 1996
Series:
Memoirs of the American Mathematical Society No. 585
Pages:
103
Description:
Discusses duality theory of operator spaces (as developed by Effros-Ruan and Blecher-Paulsen) bounded operators are replaced by completely bounded ones, isomorphisms by complete isomorphisms, and Banach spaces by operator spaces. This book presents self dual Hilbertian operator space (denoted by $OH$).
Synopsis:
In the recently developed duality theory of operator spaces (as developed by Effros-Ruan and Blecher-Paulsen) bounded operators are replaced by completely bounded ones, isomorphisms 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 $B(H)$ (with $H$ being Hilbert). In this new category, several operator spaces which are isomorphic (as Banach spaces) to a Hilbert space play an important role.For instance the row and column Hilbert spaces and several other examples appearing naturally in the construction of the Boson or Fermion Fock spaces have been studied extensively. One of the main results of this memoir is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (denoted by $OH$) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces. This new concept, called 'the operator Hilbert space' and denoted by $OH$, is introduced and thoroughly studied in this volume.
Publication:
US
Imprint:
American Mathematical Society
Returns:
Returnable
Some other items by this author:
COMPLEX INTERPOLATION BETWEEN HILBERT, BANACH AND OPERATOR SPACES (PB)
INTRODUCTION TO OPERATOR SPACE THEORY (PB)
MARTINGALES IN BANACH SPACES (HB)
PISIER:FACTOR LINEAR OPER CBMS 60 P EXPANDED LECTURES (PB)
RANDOM FOURIER SERIES WITH APPLICATIONS TO HARMONIC ANALYSIS. (AM-101)
RANDOM FOURIER SERIES WITH APPLICATIONS TO HARMONIC ANALYSIS. (AM-101), VOLUME 101 (PB)
SIMILARITY PROBLEMS AND COMPLETELY BOUNDED MAPS (PB)
SIMILARITY PROBLEMS AND COMPLETELY BOUNDED MAPS (PB)
TENSOR PRODUCTS OF C*-ALGEBRAS AND OPERATOR SPACES
TENSOR PRODUCTS OF C*-ALGEBRAS AND OPERATOR SPACES (HB)
THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY
THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (PB)
VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (HB)
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