LOCAL Delta(E)(2) CONDITION IN GENERALIZED CALDERON-LOZANOVSKII SPACES

作者：Kolwicz Pawel^*; Panfil Agata

来源：Taiwanese Journal of Mathematics, 2012, 16(1): 259-282.

DOI：10.11650/twjm/1500406540

• Kothe spaces
• Generalized Calderon-Lozanovskii spaces
• Orlicz-Lorentz spaces
• Global and local Delta(E)(2) condition
• Points of order continuous norm

First we present the local Delta(E)(2) condition in generalized Calderon-Lozanovskii spaces E-phi and we discuss the relationships between the local and the global Delta(E)(2) condition in such spaces. We also give a full characterisation for a point of B(E-phi) to have an order continuous norm. Then we apply the main result to particular spaces, i.e. Calderon-Lozanovskii spaces and Orlicz-Lorentz spaces.

• 出版日期2012-2