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The book offers a clear introduction to functional analysis, focusing on key topics like special spaces, normed spaces, and Hilbert spaces. It features numerous examples and counterexamples to clarify concepts, alongside exercises for practice. Step-by-step proofs of significant theorems, including the Uniform Boundedness Theorem and the Open Mapping Theorem, enhance comprehension. With prerequisites in linear algebra and elementary real analysis, two introductory chapters set the stage for the material that follows.
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Functional Analysis, Sergei Ovchinnikov
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- Année de publication
- 2018
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