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research
The Daugavet equation for operators not fixing a copy of
C
(
S
)
C(S)
C
(
S
)
Authors
Lutz Weis
Dirk Werner
Publication date
1 January 1996
Publisher
View
on
arXiv
Abstract
We prove the norm identity
∥
I
d
+
T
∥
=
1
+
∥
T
∥
\|Id+T\| = 1+\|T\|
∥
I
d
+
T
∥
=
1
+
∥
T
∥
, which is known as the Daugavet equation, for operators
T
T
T
on
C
(
S
)
C(S)
C
(
S
)
not fixing a copy of
C
(
S
)
C(S)
C
(
S
)
, where
S
S
S
is a compact metric space without isolated points
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Last time updated on 22/10/2014