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Auteur : N. L. Carothers
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.

Télécharger A Short Course on Banach Space Theory de N. L. Carothers Livres Pdf Epub

Download [PDF] A Short Course On Banach Space Theory Free ~ This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach .

A short course on Banach space theory (Book, 2005 ~ Get this from a library! A short course on Banach space theory. [N L Carothers] -- "This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular the course concentrates on three major topics. The elementary theory of .

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A Short Course on Banach Space Theory - N. L. Carothers ~ This is a short course on classical Banach space theory. It is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use as in an advanced topics course or seminar, or for independent .

Reading guide for A Short Course on Banach Space Theory ~ A Short Course on Banach Space Theory by N.L. Carothers Marcel de Jeu, Spring term 2006 Chapter 1 (week of Monday February 6) Together with Chapter 2, Chapter 1 forms the prelude to the rest of the book. Chapter 1 basically introduces the three main types of Banach spaces which will occur in the book: l p, L p and C(K). Here, as in the future, L p denotes the L p space corresponding to the .

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Espace uniformément convexe — Wikipédia ~ En mathématiques, un espace uniformément convexe est un espace vectoriel muni d'une norme dont les boules sont « bien arrondies », en un sens plus fort que dans un espace strictement convexe.Tout espace de Banach uniformément convexe est réflexif.Ces espaces comprennent les espaces de Hilbert et les espaces L p pour 1 < p

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Espace strictement convexe — Wikipédia ~ La stricte convexité d'un espace normé donné n'est pas conservée par changement de norme équivalente : un espace de dimension finie est strictement convexe pour ses normes euclidiennes mais pas pour ses normes ℓ 1 et ℓ ∞, par exemple, alors que toutes ses normes sont équivalentes.Il s'agit donc plus d'une propriété de la norme que de la topologie qu'elle définit.

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