Denting point in the space of operator-valued continuous maps.

Ryszard Grzaslewicz; Samir B. Hadid

Revista Matemática de la Universidad Complutense de Madrid (1996)

  • Volume: 9, Issue: 2, page 289-294
  • ISSN: 1139-1138

Abstract

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In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H < 8 and card K < 8 and dent B(L(H)) = 0 if dim H < 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).

How to cite

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Grzaslewicz, Ryszard, and Hadid, Samir B.. "Denting point in the space of operator-valued continuous maps.." Revista Matemática de la Universidad Complutense de Madrid 9.2 (1996): 289-294. <http://eudml.org/doc/44226>.

@article{Grzaslewicz1996,
abstract = {In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H &lt; 8 and card K &lt; 8 and dent B(L(H)) = 0 if dim H &lt; 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).},
author = {Grzaslewicz, Ryszard, Hadid, Samir B.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio de funciones continuas; Bases de Hilbert; Espacio de Hausdorff; Teoría de valores extremos; Algebra de operadores; Conjuntos convexos; denting point; space of continuous functions with values in the space of operators acting on a Hilbert space},
language = {eng},
number = {2},
pages = {289-294},
title = {Denting point in the space of operator-valued continuous maps.},
url = {http://eudml.org/doc/44226},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Grzaslewicz, Ryszard
AU - Hadid, Samir B.
TI - Denting point in the space of operator-valued continuous maps.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - 2
SP - 289
EP - 294
AB - In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H &lt; 8 and card K &lt; 8 and dent B(L(H)) = 0 if dim H &lt; 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).
LA - eng
KW - Espacio de funciones continuas; Bases de Hilbert; Espacio de Hausdorff; Teoría de valores extremos; Algebra de operadores; Conjuntos convexos; denting point; space of continuous functions with values in the space of operators acting on a Hilbert space
UR - http://eudml.org/doc/44226
ER -

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