Abstract
The purpose of this chapter is to introduce basic elements of functional analysis, especially those concepts necessary for a study of the operators arising in electromagnetics. The main idea is to start with the simple concept of a set and then introduce increasing levels of mathematical structure. The goal is to gradually build the foundation for understanding the concept and utility of formulating problems in an appropriate function space, usually a Hilbert or Banach space.
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Hanson, G.W., Yakovlev, A.B. (2002). Introductory Functional Analysis. In: Operator Theory for Electromagnetics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3679-3_2
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DOI: https://doi.org/10.1007/978-1-4757-3679-3_2
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