Transformations: A Mathematical Approach- Fundamental Concepts

Linear Transformations

Author(s): Carlos Polanco

Pp: 8-29 (22)

DOI: 10.2174/9781681087115118010006

* (Excluding Mailing and Handling)


This chapter is focused on the characterization of “linear space” as a mathematical abstraction. It describes the different types of linear spaces, their basic properties, and main components. It also gives a first classification and explains their restrictions and extensions.

Keywords: Coordinate space, Function space, Linear space, Linear transformation, Mapping, Matrix space, Polynomial space, Sequence space, Vector space.

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