Local Reflexivity and (p, g)-Summing Maps.
Local uniform convexity of Day’s norm on
Locally flat Banach spaces
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates.
Locally nearly uniformly smooth Banach spaces.
The aim of this paper is to study the relationships between the concepts of local near uniform smoothness and the properties H and H*.
Locally uniformly non- Orlicz spaces
Location of the 2-centers of three points.
Lower bounds for Jung constants of Orlicz sequence spaces
A new lower bound for the Jung constant of the Orlicz sequence space defined by an N-function Φ is found. It is proved that if is reflexive and the function tΦ’(t)/Φ(t) is increasing on , then . Examples in Section 3 show that the above estimate is better than in Zhang’s paper (2003) in some cases and that the results given in Yan’s paper (2004) are not accurate.
Lower bounds for matrices on block weighted sequence spaces. I
In this paper we consider some matrix operators on block weighted sequence spaces . The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on . This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Lower bounds for summability matrices on weighted sequence spaces.
L-sets and the Pelczynski-Pitt theorem.
L-summands in their biduals have Pełczyński's property (V*)
Banach spaces which are L-summands in their biduals - for example , the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński’s property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of .
LUR renormings through Deville's Master Lemma.
Lyapunov theorem for q-concave Banach spaces
A generalization of the Lyapunov convexity theorem is proved for a vector measure with values in a Banach space with unconditional basis, which is q-concave for some q < ∞ and does not contain any isomorphic copy of l₂.