A new class of Banach space with the drop property

作者：Wulede Suyalatu^*; Ha Wudunqiqige

来源：Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2012, 142(1): 215-224.

DOI：10.1017/S0308210510000545

We discuss a new class of Banach spaces which are wider than the strongly convex spaces introduced by Congxin Wu and Yongjin Li. We prove that the new class of Banach spaces lies strictly between either the class of uniformly convex spaces and strongly convex spaces or the class of fully k-convex spaces and strongly convex spaces. The new class of Banach spaces has inclusive relations with neither the class of locally uniformly convex spaces nor the class of nearly uniformly convex spaces. We obtain in addition some characterizations of this new class of Banach spaces.

• 出版日期2012-2
• 单位内蒙古师范大学