Pisier:Factor Linear Oper Cbms 60 P Expanded Lectures: Regional Conference (CBMS Regional Conference Series in Mathematics) - Tapa blanda

Pisier, Gilles

 
9780821807101: Pisier:Factor Linear Oper Cbms 60 P Expanded Lectures: Regional Conference (CBMS Regional Conference Series in Mathematics)
Tapa blanda
ISBN 10: 0821807102 ISBN 13: 9780821807101
Editorial: American Mathematical Society, 1986

Sinopsis

This book surveys the considerable progress made in Banach space theory as a result of Grothendieck's fundamental paper ""Resume De la Theorie Metrique des Produits Tensoriels Topologiques"". The author examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\infty$. He reviews the six problems posed at the end of Grothendieck's paper, which have now all been solved (except perhaps the exact value of Grothendieck's constant), and includes the various results which led to their solution. The last chapter contains the author's construction of several Banach spaces such that the injective and projective tensor products coincide; this gives a negative solution to Grothendieck's sixth problem.Although the book is aimed at mathematicians working in functional analysis, harmonic analysis and operator algebras, its detailed and self-contained treatment makes the material accessible to nonspecialists with a grounding in basic functional analysis. In fact, the author is particularly concerned to develop very recent results in the geometry of Banach spaces in a form that emphasizes how they may be applied in other fields, such as harmonic analysis and $C^*$-algebras.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
1986
Idioma
Inglés
ISBN 10 
0821807102
ISBN 13 
9780821807101
Encuadernación
Tapa blanda
Número de páginas
154
Contacto del fabricante
no disponible
Persona responsable
no disponible