Functional analysis (Q5915775)
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scientific article; zbMATH DE number 6815355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional analysis |
scientific article; zbMATH DE number 6815355 |
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Functional analysis (English)
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4 December 2017
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This book on functional analysis has been so successful that it is not surprising at all that it appears now in the 8th edition. One may get an idea of the contents by reading the reviews of preceding editions (1995; Zbl 0831.46002, 1997; Zbl 0887.46001, 2000; Zbl 0964.46001, 2002; Zbl 1048.46004, 2005; Zbl 1055.46001, 2007; Zbl 1155.46001, 2011; Zbl 1234.46002). In the last 20 years, several German textbooks on (linear) functional analysis and operator theory were published. Citing only the latest edition, let us mention the books by \textit{M. Mathieu} (1997; Zbl 0898.46001), \textit{H. Schröder} (2000; Zbl 1059.46001), \textit{J. Heine} (2002; Zbl 0998.54001), \textit{H. Heuser} (2006; Zbl 1106.46002), \textit{M. Dobrowolski} (2010; Zbl 1218.46002), \textit{R. Meise} and \textit{D. Vogt} (2011; Zbl 1234.46001), \textit{H. W. Alt} (2012; Zbl 1243.46001), \textit{W. Kaballo} (2011; Zbl 1226.46001, and 2014; Zbl 1291.46001), \textit{S. Großmann} (2014; Zbl 1312.46001), and our own attempt with \textit{M. Väth} (2005; Zbl 1086.46001). Werner's book under review, however, is by far the best.
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functional analysis
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operator theory
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introduction
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integral equations
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spectral theory
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Sobolev spaces
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Fourier transformation
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Banach spaces
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linear operators
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distributions
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fixed point theorems
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Hilbert spaces
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Banach algebras
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