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    STUDIA MATHEMATICA - Issue no. 4 / 2008  
         
  Article:   BOOK REVIEWS: JOE DIESTEL, JAN H. FOURIE AND JOHAN SWART, THE METRIC THEORY OF TENSOR PRODUCTS - GROTHENDIECK’S RÉSUMÉ REVISITED, AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, RHODE ISLAND 2008,X+278 PP, ISBN:978-0-8218-4440-3.

Authors:  ŞTEFAN COBZAŞ. 		 
       
         
  Abstract:   More that fifty years ago Alexander Grothendieck published his famous Résumé de la théorie metriques des produits tensoriels topologiques, in Boll. Soc. Mat. Sao Paolo 8 (1953/1956), 1–79, revitalizing the interest in Banach space theory and tracing the way for future investigation. Among the great ideas the genius of Grothendieck (guided by ”his inborn compass”, as is said in the Preface) isolated, were: the study of isomorphic invariants of special Banach spaces by comparing them with other Banach spaces via the bounded linear operators between them, the importance of the nature and location of finite dimensional subspaces (the local theory of Banach spaces), the use of diagram chasing to catch the essential isomorphic characteristics of Banach spaces.  
         
     
         
         
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