A Short Course on Banach Space Theory (London Mathematical by N. L. Carothers

By N. L. Carothers

it is a brief direction on Banach house idea with unique emphasis on convinced facets of the classical conception. particularly, the path makes a speciality of 3 significant subject matters: the common idea of Schauder bases, an advent to Lp areas, and an creation to C(K) areas. whereas those issues could be traced again to Banach himself, our basic curiosity is within the postwar renaissance of Banach house concept caused by means of James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their based and insightful effects are valuable in lots of modern study endeavors and deserve higher exposure. when it comes to necessities, the reader will want an easy figuring out of useful research and a minimum of a passing familiarity with summary degree conception. An introductory direction in topology might even be invaluable; although, the textual content encompasses a short appendix at the topology wanted for the course.

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