Some geometric properties of the domain of the double sequential band matrix B

The sequence space l(p) was introduced by Maddox (1967). Quite recently, the sequence space l([??], p) of nonabsolute type has been introduced and studied which is the domain of the double sequential band matrix B([??], [??]) in the sequence space l(p) by Nergiz and Basar (2012). The main purpose of this paper is to investigate the geometric properties of the space P([??], p), like rotundity and Kadec-Klee and the uniform Opial properties. The last section of the paper is devoted to the conclusion.