Operator space theory provides a synthesis of Banach space theory with the non-commuting 'quantum' variables of operator algebra theory, and it has led to exciting new approaches in both disciplines. The authors begin by giving completely elementary proofs of the basic representation theorems for abstract operator spaces and their mappings. This is followed by a discussion of tensor products and the analogue of Grothendieck's approximation property. In the next section, the operator space analogues of the nuclear, r ...
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Operator space theory provides a synthesis of Banach space theory with the non-commuting 'quantum' variables of operator algebra theory, and it has led to exciting new approaches in both disciplines. The authors begin by giving completely elementary proofs of the basic representation theorems for abstract operator spaces and their mappings. This is followed by a discussion of tensor products and the analogue of Grothendieck's approximation property. In the next section, the operator space analogues of the nuclear, r egral and absolutely summing mappings are discussed. In what is perhaps the deepest part of the book, the authors present the remarkable 'non-classical' phenomena that occur when one considers local reflexivity and exactness for operator spaces. They have included the recent proof that, in contrast to C -algebras themselves, C -algebraic duals are always locally reflexive. In the final section of the book, the authors consider applications to non-commutative harmonic analysis and non-self-adjoint operator algebra theory.
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Add this copy of Operator Spaces (London Mathematical Society Monographs to cart. £81.34, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2000 by Oxford University Press.
Add this copy of Operator Spaces (London Mathematical Society Monographs to cart. £103.94, like new condition, Sold by Zubal Books rated 4.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 2000 by Oxford University Press.
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*Price HAS BEEN REDUCED by 10% until Monday, Sept. 29 (weekend SALE item)* First edition, first printing, 384 pp., hardcover, fine. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request.
Add this copy of Operator Spaces (London Mathematical Society Monographs to cart. £128.03, very good condition, Sold by Wonder Book - Member ABAA/ILAB rated 5.0 out of 5 stars, ships from Frederick, MD, UNITED STATES, published 2000 by Oxford University Press, USA.
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Very Good. Very Good condition. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp.
