Packing constant and Musielak-Orlicz sequence spaces equipped with the Luxemburg norm.
Packing constant for Cesàro-Orlicz sequence spaces
The packing constant is an important and interesting geometric parameter of Banach spaces. Inspired by the packing constant for Orlicz sequence spaces, the main purpose of this paper is calculating the Kottman constant and the packing constant of the Cesàro-Orlicz sequence spaces () defined by an Orlicz function equipped with the Luxemburg norm. In order to compute the constants, the paper gives two formulas. On the base of these formulas one can easily obtain the packing constant for the Cesàro...
Packing in Orlicz sequence spaces
We show how one can, in a unified way, calculate the Kottman and the packing constants of the Orlicz sequence space defined by an N-function, equipped with either the gauge or Orlicz norms. The values of these constants for a class of reflexive Orlicz sequence spaces are found, using a quantitative index of N-functions and some interpolation theorems. The exposition is essentially selfcontained.
P-convexity of Musielak-Orlicz sequence spaces of Bochner type.
P-convexity property in Musielak-Orlicz sequence spaces.
We prove that in the Musielak-Orlicz sequence spaces equipped with the Luxemburg norm, P-convexity coincides with reflexivity.
Point character of uniformities and completeness
Power series spaces of finite type and related nuclearities
Primarité des produits d'espaces de suites
Product Theorems for Certain Summability Methods in Non-archimedean Fields
In this paper, denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in The main purpose of this paper is to prove some product theorems involving the methods and in such fields
Properties of Sequence Spaces in Which l1 is Weakly Compactly Embedded.
Properties of some sets of infinite series