Real-Multilinear Isometries on Function Algebras
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INVESTIGACIONMetadata
Title
Real-Multilinear Isometries on Function AlgebrasDate
2017Publisher
Springer International PublishingISSN
1422-6383; 1420-9012Bibliographic citation
FONT, Juan J.; HOSSEINI, Maliheh. Real-Multilinear Isometries on Function Algebras. Results in Mathematics, p. 1-18Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s00025-017-0660-1Version
info:eu-repo/semantics/sumittedVersionSubject
Abstract
Let
A
1
,...,A
k
be function algebras (or more generally, dense
subspaces of uniformly closed function algebras) on locally compact Haus-
dorff spaces
X
1
,...,X
k
, respectively, and let
Y
be a locally ... [+]
Let
A
1
,...,A
k
be function algebras (or more generally, dense
subspaces of uniformly closed function algebras) on locally compact Haus-
dorff spaces
X
1
,...,X
k
, respectively, and let
Y
be a locally compact
Hausdorff space. A
k
-real-linear map
T
:
A
1
× ··· ×
A
k
−→
C
0
(
Y
)is
called a
real-multilinear (or
k
-real-linear) isometry
if
T
(
f
1
,...,f
k
)
=
k
i
=1
f
i
((
f
1
,...,f
k
)
∈
A
1
×···×
A
k
)
,
where
·
denotes the supremum norm. In this paper we study such
maps and obtain generalizations of basically all known results concerning
multilinear and real-linear isometries on function algebras. [-]
Is part of
Results in Mathematics, p. 1-18Rights
© Springer International Publishing 2017
"The final publication is available at Springer via http://dx.doi.org/10.1007/s00025-017-0660-1"
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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