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In vector spaces, we know how to add their elements and multiply their elements by scalars, while in metric spaces we know how to calculate the distance between two of their elements. A normed space is the mathematical structure in which all this can be done in the same environment.

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Normed Vector Spaces

  • 章节

  • 发表日期：

    2025年

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  • Geraldo Botelho,
  • Daniel Pellegrino,
  • Eduardo Teixeira

摘要

In vector spaces, we know how to add their elements and multiply their elements by scalars, while in metric spaces we know how to calculate the distance between two of their elements. A normed space is the mathematical structure in which all this can be done in the same environment.