M. Petrakis

collaborators

2 papers

math.FA2012

Function spaces not containing $ℓ_{1}$

S. A. Argyros, A. Manoussakis, M. Petrakis

For $Ω$ bounded and open subset of $R^{d_{0}}$ and $X$ a reflexive Banach space with 1-symmetric basis, the function space $J F_{X} (Ω)$ is defined. This class of spaces inc…

math.FA2011

On the structure of non dentable subsets of C(ω^ω^k)

Pericles D Pavlakos, Minos Petrakis

It is shown that there is no K closed convex bounded non-dentable subset of C(ω^ω ^k) such that on the subsets of K the PCP and the RNP are equivalent properties. Then applying Sch…

Function spaces not containing ℓ1​

On the structure of non dentable subsets of C(ω^ω^k)

Function spaces not containing $ℓ_{1}$