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Philosophy of science --- Science --- Sciences --- Philosophy --- Philosophie --- Reality --- -Natural science --- Science of science --- Truth --- Nominalism --- Pluralism --- Pragmatism --- -Philosophy --- Normal science

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This textbook is an introduction to the techniques of summing and nuclear norms. The author's aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. The style is expository and the only prerequisite is a beginner's course on Wormed linear spaces and a minimal knowledge of functional analysis. Thus, Dr Jameson is able to concentrate on important, central results and gives concrete and largely non-technical proofs, often supplying alternative proofs which both contribute something to the understanding. Final-year undergraduates and postgraduates in functional analysis will enjoy this introduction to the subject, and there are many examples and exercises throughout the text to help the reader and to demonstrate the range of application these techniques find. A list of references indicates the way for further reading.

Banach spaces. --- Banach algebras. --- Operator theory. --- Functional analysis --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Functions of complex variables --- Generalized spaces --- Topology --- Espaces linéaires normés. --- Normed linear spaces --- Normed linear spaces. --- Espaces d'operateurs lineaires continus --- Espaces de banach --- Ideaux normes

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