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

By N. L. Carothers

ISBN-10: 0521603722

ISBN-13: 9780521603720

ISBN-10: 0521842832

ISBN-13: 9780521842839

it is a brief direction on Banach house thought with distinct emphasis on definite features of the classical thought. specifically, the direction makes a speciality of 3 significant subject matters: the straightforward idea of Schauder bases, an advent to Lp areas, and an creation to C(K) areas. whereas those issues will be traced again to Banach himself, our basic curiosity is within the postwar renaissance of Banach area conception caused by way of James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their dependent and insightful effects are invaluable in lots of modern examine endeavors and deserve larger exposure. in terms of necessities, the reader will want an trouble-free figuring out of practical research and a minimum of a passing familiarity with summary degree conception. An introductory path in topology might even be worthy; although, the textual content contains a short appendix at the topology wanted for the course.

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A Short Course on Banach Space Theory (London Mathematical Society Student Texts) by N. L. Carothers

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