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Textbook 2008Latest editioncourse at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the t- ory of metric spaces). Part of the development of functional analysis can be traced to attempts to ?nd a suitable framework in which to discusinsular 发表于 2025-3-22 07:54:29
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Linear Operators, over the same scalar field. Since normed vector spaces have a metric associated with the norm, and continuous functions between metric spaces are in general more important than functions which are not continuous, the important maps between normed vector spaces will be the ..exhibit 发表于 2025-3-22 20:34:12
,Duality and the Hahn—Banach Theorem,al properties of dual spaces, and also of second dual spaces. We conclude the chapter by considering “projection operators” and “weak convergence” of sequences — these topics have many uses, and rely on some of the results established earlier in the chapter.ANTIC 发表于 2025-3-22 23:44:24
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