Download PDF by M. V. Velasco, A. Rodriguez-Palacios: Advanced Courses of Mathematical Analysis II: Proceedings of

By M. V. Velasco, A. Rodriguez-Palacios

ISBN-10: 981256652X

ISBN-13: 9789812566522

ISBN-10: 9812708448

ISBN-13: 9789812708441

This quantity contains a set of articles via major researchers in mathematical research. It offers the reader with an intensive assessment of latest instructions and advances in subject matters for present and destiny learn within the box.

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J. Diestel, A survey of results related t o the Dunford-Pettis property. Proc. of the Conference on Integration, Topology and Geometry in Linear Spaces,. Contemp. Math. 2 (1980), 15-60. 7. J. Diestel, H. Jarchow and A. Tongue, Absolutely Summing Operators. Cambridge Univ. Press, 1995. 8. G1 A. Grothendieck, Produits tensoriels topologiques et espaces nucle'aires. Mem. Amer. Math. ,No. 16, 1955. 9. A. Grothendieck, Rdsume' des resultats essentiels duns la the'orie des produits tensoriels topologiques et des espaces nucle'aires.

I shall focus mainly on his contributions to the theory of topological tensor products, first in the setting of locally convex spaces (the subject of his Thesis) and later as a powerful tool to study the structure of Banach spaces (mainly contained in the famous Sao Paolo’s Re‘sume?. Between these two masterpieces, I shall briefly comment on the remarkable paper on C(K)-spaces which appeared in the Canadian J. , where Grothendieck axiomatizes some important properties. I will refer t o this not only for its transcendence in the future development of the theory, but because I think it is a paradigmatic example of Grothendieck’s way of thinking.

11) Quelques points de la the'orie des produits tensoriels topologiques. Segundo symposium sobre algunos problemas matem6ticos que se e s t h estudiando en Latino America, Julio 1954, 173-177. Centro de Cooperacih Cientifica de la UNESCO para America Latina, Montevideo, Uruguay, 1954. (12) Espaces vectoriels topologiques. Instituto de Matematica Pura e Aplicada, Universidade de S5o Paulo, 1954. (13) Re'sume' des re'sultats essentiels duns la the'orie des produits tensoriels topologiques et des espaces nucle'aires.

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Advanced Courses of Mathematical Analysis II: Proceedings of the Second International School, Granada, Spain, 20 - 24 September 2004 by M. V. Velasco, A. Rodriguez-Palacios


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