Abstract
The following chapter is concerned with a rather remarkable and extremely powerful theorem first proved by Weierstrass and then extended to its present form by Stone. Although mathematicians have long recognized its importance, most of those people in applications have for some reason failed to appreciate its significance. It is fundamental to certain arguments later on. We shall point out precisely where at that point. For the moment, we hope the reader will have faith enough to wait.
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References
N. Dunford and J.T. Schwartz, “Linear Operators, vol. 1,” Interscience, New York, 1958.
E. Hewitt and K. Stromberg, “Real and Abstract Analysis,” Springer-Verlag, New York, 1965.
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© 1986 D. Reidel Publishing Company, Dordrecht, Holland
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Krall, A.M. (1986). The Stone-Weierstrass Theorem. In: Applied Analysis. Mathematics and Its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4748-1_6
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DOI: https://doi.org/10.1007/978-94-009-4748-1_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-2342-0
Online ISBN: 978-94-009-4748-1
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