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On a class of difference sequences related to the p-normed space lp

Tripathy B. Ch.

Demonstratio Mathematica

2003

Vol. 36, nr 4

867--872

In this article we introduce the difference sequence space m (Δ,φ,p), 0 < p < 1, which is related to the p-normed space lp(Δ) (i.e. bvp). We study its different properties like solidity, symmetricity, completeness etc. We prove some inclusion results and verify its relations with the other sequence spaces.

Regular covers and metrization

Lin S.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 4

427-432

In this paper it is showed that a regular and k-space with a regular k-network is metrizable, which generalized related results of A. Archangielskiĭ, H. W. Martin, M. Sakai, K. Tamano and Y. Yajima.