AN ENDPOINT THEOREM IN GENERALIZED L-SPACES WITH APPLICATIONS

作者：Amini Harandi A^*; Petrusel Adrian

来源：Journal of Nonlinear and Convex Analysis, 2015, 16(2): 265-271.

• Endpoint
• delta-complete topological space
• measure of non-singletonsness
• order-theoretic Cantor theorem

In this paper, we will introduce first the notions of measure of non-singletonsness (denoted by (delta), delta-Cauchy sequence and delta-completeness in the setting of generalized L-spaces. Main result of the paper is a new endpoint theorem in generalized L-spaces from which we will derive an order-theoretic Cantor theorem in such spaces. Some examples are also given to support our main result. Our results generalize some recent results in the literature.

• 出版日期2015