Title of article
Simultaneous projectional skeletons
Author/Authors
Cْth، نويسنده , , Marek، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
11
From page
19
To page
29
Abstract
We prove the existence of a simultaneous projectional skeleton for certain subspaces of C ( K ) spaces. This generalizes a result on simultaneous projectional resolutions of identity proved by M. Valdivia. We collect some consequences of this result. In particular we give a new characterization of Asplund spaces using the notion of projectional skeleton.
Keywords
Retractional skeleton , Projectional skeleton , Valdivia compacta , Asplund spaces , Plichko spaces
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564125
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