ISOMETRIC EMBEDDING INTO SPACES OF CONTINUOUS-FUNCTIONS

Authors
VILLA R
Citation
R. Villa, ISOMETRIC EMBEDDING INTO SPACES OF CONTINUOUS-FUNCTIONS, Studia Mathematica, 129(3), 1998, pp. 197-205
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
129
Issue
3
Year of publication
1998
Pages
197 - 205
Database
ISI
SICI code
0039-3223(1998)129:3<197:IEISOC>2.0.ZU;2-2
Abstract
We prove that some Banach spaces X have the property that every Banach space that can be isometrically embedded in X can be isometrically an d linearly embedded in X. We do not know if this is a general property of Banach spaces. As a consequence we characterize for which ordinal numbers alpha, beta there exists an isometric embedding between C-0 (a lpha + 1) and C-0(beta + 1).