This section is rather brief since we suppose that the reader already has some knowledge of linear algebra. Therefore, it should be viewed mainly as a source of concepts and notation which will be frequently used in the sequel. There are plenty of textbooks on this subject. As we are interested in applications to analysis we recommend to the reader the classical book Halmos  to find more detailed information.
KeywordsHilbert Space Banach Space Scalar Product Topological Space Linear Space
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