SOME GEOMETRIC PROPERTIES OF A NEW DIFFERENCE SEQUENCE SPACE INVOLVING LACUNARY SEQUENCES

作者：Karakas Murat^*; Et Mikail; Karakaya Vatan

来源：Acta Mathematica Scientia, 2013, 33(6): 1711-1720.

• difference sequence space
• lacunary sequence
• k-NUC property
• rotundity
• Luxemburg norm

In this paper, we define a new generalized difference sequence space involving lacunary sequence. Then, we examine k-NUC property and property (beta) for this space and also show that it is not rotund where p = (p(r)) is a bounded sequence of positive real numbers with p(r) >= 1 for all r is an element of N.

• 出版日期2013-11