local_shipping Spend over €10 for free home delivery  place2 Hour Click & Collect Service Now Available

Factorization of linear operators and geometry of Banach spaces

by Gilles Pisier | 30 December 1986
PAPERBACK
Category: Mathematics
Synopsis
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.
€43.33
129 Reward Points
In stock online
Delivery 5-7 Days
Eligible for free delivery

Any purchases for more than €10 are eligible for free delivery anywhere in the UK or Ireland!

Synopsis
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.
Quantity
Quantity
€43.33
129 Reward Points
In stock online
Delivery 5-7 Days
Eligible for free delivery

Any purchases for more than €10 are eligible for free delivery anywhere in the UK or Ireland!

Quantity
Quantity

Product Details

ISBN - 9780821807101
Format - PAPERBACK
Publisher -
Published - 30/12/1986
Categories - All, Books, Science and Nature, Science, Mathematics
No. of Pages - 154
Weight - 239
Edition -
Series - - Not Available
Page Size - 25
Language - en-US
Readership Age - Not Available
Table of Contents - Not Available

Delivery And Returns

Please Note: Items in our extended range may take longer to deliver. Delivery in 5-7 Days

Place an order for over €10 to receive free delivery to anywhere in Ireland and the UK! See our Delivery Charges section below for a full breakdown of shipping costs for all destinations.

Delivery Charges

  Ireland & UK* Europe & USA Australia & Canada Rest of World
Under €10 €3.80 €10 €15 €25
Over €10
Free €10 €15 €25

*Free delivery on all orders over €10 - only applies to order total.

All orders will be delivered by An Post.