Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski-Rådström-Hörmander spaces

Jerzy Grzybowski; Diethard Pallaschke; Ryszard Urbański

Banach Center Publications (2009)

  • Volume: 84, Issue: 1, page 31-55
  • ISSN: 0137-6934

Abstract

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The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.

How to cite

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Jerzy Grzybowski, Diethard Pallaschke, and Ryszard Urbański. "Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski-Rådström-Hörmander spaces." Banach Center Publications 84.1 (2009): 31-55. <http://eudml.org/doc/282374>.

@article{JerzyGrzybowski2009,
abstract = {The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.},
author = {Jerzy Grzybowski, Diethard Pallaschke, Ryszard Urbański},
journal = {Banach Center Publications},
keywords = {convex sets; geometry; convex analysis; polygons},
language = {eng},
number = {1},
pages = {31-55},
title = {Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski-Rådström-Hörmander spaces},
url = {http://eudml.org/doc/282374},
volume = {84},
year = {2009},
}

TY - JOUR
AU - Jerzy Grzybowski
AU - Diethard Pallaschke
AU - Ryszard Urbański
TI - Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski-Rådström-Hörmander spaces
JO - Banach Center Publications
PY - 2009
VL - 84
IS - 1
SP - 31
EP - 55
AB - The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.
LA - eng
KW - convex sets; geometry; convex analysis; polygons
UR - http://eudml.org/doc/282374
ER -

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