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Basic Linear Geometry

In: Open Problems in the Geometry and Analysis of Banach Spaces

Author

Listed:
  • Antonio J. Guirao

    (Universitat Politècnica de València, Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada)

  • Vicente Montesinos

    (Universitat Politècnica de València, Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada)

  • Václav Zizler

    (University of Alberta, Department of Mathematical and Statistical Sciences)

Abstract

A subset K of a Banach space X is said to be a Chebyshev set Chebyshev set if every point point nearest in X has a unique nearest point in K. In such a case, the mapping that to x ∈ X associates the point in K at minimum distance is called the metric projection. metric projection see projection, metric projection metric

Suggested Citation

  • Antonio J. Guirao & Vicente Montesinos & Václav Zizler, 2016. "Basic Linear Geometry," Springer Books, in: Open Problems in the Geometry and Analysis of Banach Spaces, chapter 0, pages 37-50, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33572-8_2
    DOI: 10.1007/978-3-319-33572-8_2
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