Real and functional analysis. 2nd ed. Part B: Functional analysis (Q1100681)
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scientific article; zbMATH DE number 4044454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real and functional analysis. 2nd ed. Part B: Functional analysis |
scientific article; zbMATH DE number 4044454 |
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Real and functional analysis. 2nd ed. Part B: Functional analysis (English)
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1986
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For a review on the first one volume edition (1978) see Zbl 0391.46001. This part contains chapters 5 and 6 and the Appendix of the first edition together with additional topics in functional analysis, including a new section on topological vector spaces, a complete chapter on spectral theory and an appendix on invariant subspace.
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Hahn-Banach theorem
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open mapping theorem
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closed graph theorem
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principle of uniform boundedness
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reflexive Banach spaces
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compact operators
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topological vector spaces
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geometry of Hilbert space
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bases
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spectral decomposition of self-adjoint operators
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unbounded operators
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invariant and hyperinvariant subspaces
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