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On Corson compacta and embeddings of  spaces
Author(s):
Witold
Marciszewski;
Grzegorz
Plebanek
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4281-4289.
MSC (2010):
Primary 46B26, 46E15;
Secondary 46E27
Posted:
May 17, 2010
MathSciNet review:
2680054
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Abstract:
We investigate properties of those compact spaces  for which the Banach space  can be isomorphically embedded into a space  , where  is Corson compact. We show that in such a case  must be Corson compact provided  has some additional measure-theoretic property. The result is applicable to Rosenthal compacta and several other classes of compact spaces  .
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Additional Information:
Witold
Marciszewski
Affiliation:
Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland
Email:
wmarcisz@mimuw.edu.pl
Grzegorz
Plebanek
Affiliation:
Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Email:
grzes@math.uni.wroc.pl
DOI:
10.1090/S0002-9939-2010-10403-3
PII:
S 0002-9939(2010)10403-3
Received by editor(s):
September 11, 2009
Received by editor(s) in revised form:
January 24, 2010
Posted:
May 17, 2010
Additional Notes:
Research of the first author was partially supported by MNiSW Grant No. N N201 382034.
The second author was partially supported by grant 2191/W/IM/09 from the University of Wrocław.
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2010,
American Mathematical Society
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