AN EXAMPLE OF L(P)-EQUIVALENT SPACES WHICH ARE NOT L(P-ASTERISK)-EQUIVALENT

Authors
BAARS J DEGROOT J VANMILL J PELANT J
Citation
J. Baars et al., AN EXAMPLE OF L(P)-EQUIVALENT SPACES WHICH ARE NOT L(P-ASTERISK)-EQUIVALENT, Proceedings of the American Mathematical Society, 119(3), 1993, pp. 963-969
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
3
Year of publication
1993
Pages
963 - 969
Database
ISI
SICI code
0002-9939(1993)119:3<963:AEOLSW>2.0.ZU;2-I
Abstract
We give an example of two locally compact countable metric spaces X an d Y which are l(p)-equivalent but not l(p)-equivalent, i.e., C(p)(X) and C(p)(Y) are linearly homeomorphic but C(p)(X) and C(p)*(Y) are no t linearly homeomorphic.