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Erschienen in:
1998 | OriginalPaper | Buchkapitel
Basic Concepts
verfasst von : Robert E. Megginson
Erschienen in: An Introduction to Banach Space Theory
Verlag: Springer New York
Enthalten in: Professional Book Archive
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This chapter contains the basic definitions and initial results needed for a study of Banach spaces. In particular, the material presented in the first twelve sections of this chapter, with the exception of that of Section 1.5, is used extensively throughout the rest of this book. Section 1.13, though containing material that is very important in modern Banach space theory, is optional in the sense that the few results and exercises in the rest of the book that depend on this material are clearly marked as such.