Banach spaces with projectional skeletons

0324271 - MÚ 2009 RIV US eng J - Journal Article
Kubiś, Wieslaw
Banach spaces with projectional skeletons.
[Banachovy prostory s projekčními skeletony.]
Journal of Mathematical Analysis and Applications. Roč. 350, č. 2 (2009), s. 758-776. ISSN 0022-247X. E-ISSN 1096-0813
Institutional research plan: CEZ:AV0Z10190503
Keywords : projection * projectional skeleton * norming set
Subject RIV: BA - General Mathematics
Impact factor: 1.225, year: 2009

We show that every space with a projectional skeleton has a projectional resolution of the identity and has a norming space with similar properties to .SIGMA.-spaces. As a corollary, we show that a Banach space is Plichko if and only if it has a commutative projectional skeleton.

Je ukázáno, že každý prostor s projekčním skeletonem má PRI. Jako důsledek je ukázáno, že Banachův prostor je Plichko, právě když má komutativní projekční skeleton.
Permanent Link: http://hdl.handle.net/11104/0172017