Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An " operator space " is simply a Banach space...
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Résumé
The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An " operator space " is simply a Banach space with an embedding into the space B (H) of all bounded operators on a Hilbert space H. The first part of this book is an introduction with emphasis on examples that illustrate varions aspects of the theory. The second part is devoted to applications to C*-algebras, with a systematic exposition of tensor products of C*-algebras. The third (and shortest) part of the book describes applications to non-self-adjoint operator algebras and similarity problems. In particular, the author's counterexample to the " Halmos problem " is presented, as well as work on the new concept of "length" of an operator algebra.
Graduate students and professional mathematicians interested in functional analysis, operator algebras, and theoretical physics will find that this book has much to offer.
Sommaire
INTRODUCTION TO OPERATOR SPACES
Completely bounded maps
Minimal and maximal operator space structures
Projective tensor product
The Haagerup tensor product
Characterizations of operator algebras
The operator Hilbert space
Group C*-algebra - Universal algebars and unitization for an operator space
Examples and comments
Comparisons
OPERATOR SPACES AND C*-TENSOR PRODUCTS
C*-norms on tensor products - Decomposable maps - Nuclearity
Nuclearity and approximation properties
C*
Kirchberg's theorem on decomposable maps
The Weak Expectation Property (WEP)
The Local Lifting Property (LLP)
Exactness
Local reflexivity
Grothendieck's theorem for operator spaces
Estimating the norms of sums of unitaries: Ramanujan graphs, property T, random matrices
Local theory of operator spaces
B (H)
Completely isomorphic C*-algebras
Injective and projective operator spaces
OPERATOR SPACES AND NON-SELF-ADJOINT: OPERATOR ALGEBRAS
Maximal tensor products and free products of operator algebras
The Blecher-Paulsen factorization - Infinite Haagerup tensor products