Basic Linear Geometry

Antonio J. Guirao, Vicente Montesinos and Václav Zizler
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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

Chapter Chapter 2 in Open Problems in the Geometry and Analysis of Banach Spaces, 2016, pp 37-50 from Springer

Abstract: 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

Keywords: Banach Space; Closed Unit Ball; Separable Space; Linear Isometry; Dual Norm (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-33572-8_2

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