Abstract
Functional analysis conventionally takes as its starting point the idea of the existence of collections of mathematical objects, for example, numbers, vectors, or functions. Such collections, which are known as sets, are endowed with additional structure, and when this is done it becomes possible to elaborate on their properties and build up a coherent theory.
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© 1998 Springer Science+Business Media New York
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Reddy, B.D. (1998). Sets. In: Introductory Functional Analysis. Texts in Applied Mathematics, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0575-3_2
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DOI: https://doi.org/10.1007/978-1-4612-0575-3_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6824-6
Online ISBN: 978-1-4612-0575-3
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