By N. L. Carothers

ISBN-10: 0521603722

ISBN-13: 9780521603720

ISBN-10: 0521842832

ISBN-13: 9780521842839

it is a brief direction on Banach area thought with precise emphasis on definite elements of the classical conception. specifically, the direction makes a speciality of 3 significant issues: the ordinary concept of Schauder bases, an creation 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 area conception led to through James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their stylish and insightful effects are necessary in lots of modern examine endeavors and deserve higher exposure. when it comes to must haves, the reader will desire an undemanding realizing of useful research and not less than a passing familiarity with summary degree thought. An introductory path in topology could even be important; besides the fact that, the textual content features 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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