Abstract
Each of the function spaces mentioned in the introduction of the preceding chapter has (with one exception, A(D)) a norm ∥ ∥ [Definition I, 3, 1] which defines the topology of major interest in the space; a neighborhood basis of a point x is the family of sets {y: ∥x−y∥ ≦ ɛ} where ɛ > 0.
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© 1962 Springer-Verlag Berlin Heidelberg
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Day, M.M. (1962). Normed Linear Spaces. In: Normed Linear Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-41637-2_2
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DOI: https://doi.org/10.1007/978-3-662-41637-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-02811-6
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