Download e-book for kindle: A Short Course on Banach Space Theory (London Mathematical by N. L. Carothers

By N. L. Carothers

it is a brief direction on Banach area idea with distinct emphasis on convinced facets of the classical thought. specifically, the direction specializes in 3 significant subject matters: the user-friendly idea of Schauder bases, an creation to Lp areas, and an creation to C(K) areas. whereas those themes might be traced again to Banach himself, our basic curiosity is within the postwar renaissance of Banach area thought caused through James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their dependent and insightful effects are priceless in lots of modern study endeavors and deserve higher exposure. in terms of necessities, the reader will desire an straight forward realizing of useful research and no less than a passing familiarity with summary degree thought. An introductory path in topology may even be important; in spite of the fact that, the textual content encompasses 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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