A Short Course on Banach Space Theory (London Mathematical - download pdf or read online

By N. L. Carothers

ISBN-10: 0521603722

ISBN-13: 9780521603720

ISBN-10: 0521842832

ISBN-13: 9780521842839

this can be a brief direction on Banach house thought with specified emphasis on yes elements of the classical thought. specifically, the path makes a speciality of 3 significant themes: the hassle-free thought of Schauder bases, an advent to Lp areas, and an advent to C(K) areas. whereas those themes may be traced again to Banach himself, our fundamental curiosity is within the postwar renaissance of Banach area idea led to via James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their dependent and insightful effects are priceless in lots of modern examine endeavors and deserve higher exposure. when it comes to necessities, the reader will want an hassle-free realizing of sensible research and not less than a passing familiarity with summary degree conception. An introductory path in topology might even be beneficial; notwithstanding, 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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