# 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

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topJerzy 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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