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Introductory Functional Analysis

  • George W. Hanson
  • Alexander B. Yakovlev

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.

Keywords

Hilbert Space Linear Space Sequence Space Uniform Convergence Linear Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • George W. Hanson
    • 1
  • Alexander B. Yakovlev
    • 2
  1. 1.Department of Electrical Engineering and Computer ScienceUniversity of WisconsinMilwaukeeUSA
  2. 2.Department of Electrical EngineeringUniversity of MississippiUniversityUSA

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