New PDF release: 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 path on Banach area concept with unique emphasis on definite features of the classical thought. particularly, the path makes a speciality of 3 significant subject matters: the undemanding concept of Schauder bases, an advent to Lp areas, and an creation to C(K) areas. whereas those issues might be traced again to Banach himself, our basic curiosity is within the postwar renaissance of Banach area conception led to via James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their based and insightful effects are valuable in lots of modern study endeavors and deserve higher exposure. in terms of must haves, the reader will want an straightforward knowing of useful research and not less than a passing familiarity with summary degree concept. An introductory direction in topology might even be useful; besides the fact that, 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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