Full paper in PDF:
$%R. Grzaśłewicz and S.B. Hadid, Denting point in the space of operator-valued continuous maps, Rev. Mat. Univ. Complut. Madrid 9 (1996), no. 2, 289–294.%$

Denting Point in the Space of Operator-Valued Continuous Maps
Ryszard GRZAŚŁEWICZ and Samir B. HADID
Institute of Mathematics
Politechnika
Wb. Wyspiańskiego 27
PL-50370 Wroclaw — Poland
GRZASLEW@im.rwr.wroc.pl
Institute of Mathematics
University of Mu’tah
P.O. Box 7
Al-Karak — Jordan

Received: March 2, 1995
Revised: June 19, 1995
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

{ extB(L(H)) if dim H <8 and cardK < 8 dentB(L(H)) = Ø if dim H <8 or cardK = 8

and x-extC(K, L(H)) = extC(K, L(H)) .

1991 Mathematics Subject Classification: Primary 47D20; Secondary 46B20.