SOME GEOMETRIC PROPERTIES OF THE DOMAIN OF THE TRIANGLE A IN THE SEQUENCE SPACE l(p)

Abstract

triangle The matrix sequence A defined space byl(A,the e p) strictly of non-absolute increasing type sequence is the λ domain = (λn) of of positive real numbers e tending to infinity in the sequence space l(p), where l(p)were denotes defined the space by Maddox of all sequences in [Spaces xof = strongly (xk ) such summable thatPk sequences, |xk |pk < ∞ Quart.and J. Math. Oxford (2) 18 (1967), 345 355]. The main purpose of this paper is Kadec-Klee to investigate property.the geometric properties of the space l A, e p(A-p) , like rotundity,