Abstract
We assume that the reader already has knowledge of (complex) matrices, determinants, etc. In this chapter, we shall present basic machinery for dealing with vector spaces, especially Banach and Hilbert spaces. We do not go into depth in this direction as there are plenty of excellent specialised monographs available devoted to various aspects of the subject, see, e.g., [11, 35, 53, 59, 63, 70, 87, 89, 90, 116, 134, 146, 153]. However, we still make an independent presentation of a collection of results which are indispensable for anyone working in analysis, and which are useful for other parts of this book.
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© 2010 Birkhäuser Verlag AG
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Ruzhansky, M., Turunen, V. (2010). Elementary Functional Analysis. In: Pseudo-Differential Operators and Symmetries. Pseudo-Differential Operators, vol 2. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8514-9_3
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DOI: https://doi.org/10.1007/978-3-7643-8514-9_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8513-2
Online ISBN: 978-3-7643-8514-9
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