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Abstract

Let X be a Banach space and X be class of spaces isomorphic to X. Using the concepts of supporting functionals in dual space X the condition on Δ(X, Y) is obtained, where Y ε X; and Δ(X, Y) denotes the distance between X and Y in X; which guarantees uniform normal structure.

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© 2003 Springer Basel AG

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Gao, J. (2003). Mazur Distance and Normal Structure in Banach Spaces. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_20

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  • DOI: https://doi.org/10.1007/978-3-0348-8035-0_20

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9414-2

  • Online ISBN: 978-3-0348-8035-0

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