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    17 September 1992
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    Operators on Hilbert space
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    Locally convex spaces
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    Weak topologies
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    Linear operators on a Banach space
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    Banach algebras
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    spectral theory
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    \(C^ *\)-algebras
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    Normal operators on Hilbert space
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    Unbounded operators
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    Fredholm theory
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    diagonalization of selfadjoint compact operators with applications to Sturm-Liouville problems
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    Banach limits
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    Runge's theorem on the approximation of analytic functions by rational functions
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    fixed point principles of Schauder and Ryll-Nardzewski
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    Haar measures
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    Lebesgue spaces \(L_ p\)
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