Abstract
Each of the function spaces mentioned in the introduction of th 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 ∥ ≦ ε} where ε > 0.
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© 1973 Springer-Verlag Berlin Heidelberg
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Day, M.M. (1973). Normed Linear Spaces. In: Normed Linear Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09000-8_2
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DOI: https://doi.org/10.1007/978-3-662-09000-8_2
Publisher Name: Springer, Berlin, Heidelberg
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