Spaces S-v, diametral dimension and property ((Omega)over-bar)

作者：Demeulenaere Loic^*

来源：Journal of Mathematical Analysis and Applications, 2017, 449(2): 1340-1350.

DOI：10.1016/j.jmaa.2016.12.067

• Sequence spaces
• Diametral dimension
• Property ((Omega)over-bar)

We provide new developments to extend the formula of the diametral dimension of locally p-convex spaces S-v (Aubry and Bastin, 2010) to some locally pseudoconvex ones. We also use our method to prove that the spaces S-v verify the property ((Omega) over bar) of Vogt and Wagner, in case they are locally p-convex and for some cases of local pseudoconvexity.

• 出版日期2017-5-15