This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are ...
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This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.
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Very Good. 2004. Paperback. Octavo. xii & 184 pp. Mild shelf wear to wraps. Remainder mark to bottom edge of text block. Altogether a copy in Very Good condition. Very Good. (Subject: Mathematics).
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Book. Octavo, ix, 184 pages. In Very Good minus condition. Bound in the publisher's blue cloth bearing white lettering to the spine. Boards have minimal wear. Former bookshop's sticker to the rear. Text block shows mild age toning to the edges. Remainder mark to the head edge. Illustrated. First edition. NOTE: Shelved in Netdesk Column F, ND-F. 1378040. FP New Rockville Stock.
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