[PDF.06lf] Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis

[PDF.ut48] Convergence Structures and Applications to Functional Analysis

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 | #4967281 in Books |  Springer |  2002-03-31 | Original language:English | PDF # 1 |  9.21 x.69 x6.14l,1.42 | File type: PDF | 264 pages

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||1 of 1 people found the following review helpful.| Great math book|By Charles J. Geyer|This is quite an amazing math book, although not for everybody. It is research level functional analysis -- beyond the level of textbooks like Rudin (Functional Analysis) or Conway (A Course in Functional Analysis). The main tool is convergence spaces, which generalize topological spaces (specifying convergent filters rather than open sets)

For many, modern functional analysis dates back to Banach's book [Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of complete normed and complete metrizable spaces. When analysts realized the power and applicability of these methods, they sought to generalize the concept of a metric space and to broaden the scope of these theorems. Topological methods had been gene...

You can specify the type of files you want, for your gadget.Convergence Structures and Applications to Functional Analysis   |  R. Beattie, Heinz-Peter Butzmann. I was recommended this book by a dear friend of mine.

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