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Some sequence spaces defined by [N,Pn] summability

Bhardwaj V., Singh N.

Demonstratio Mathematica

1999

Vol. 32, nr 3

539-546

The object of this paper is to introduce some new sequence spaces which arise from the notion of [N, pn] summability. Some topological results, certain inclusion relations and a result on matrix transformations have been discussed.

Noncontinuous linear operators and independent linear topologies

Lipecki Z.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

1998

[Z] 38

53-62

We establish the existence of badly noncontinuous injective linear operators, isomorphisms and involutions between topological linear spaces. As an application, a metrizable linear topology independent of a given one is exhibited.