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The non-archimedian space BC(X) with the strict topology.

Nicole De Grande-De Kimpe, Samuel Navarro (1994)

Publicacions Matemàtiques

Let X be a zero-dimensional, Hausdorff topological space and K a field with non-trivial, non-archimedean valuation under which it is complete. Then BC(X) is the vector space of the bounded continuous functions from X to K. We obtain necessary and sufficient conditions for BC(X), equipped with the strict topology, to be of countable type and to be nuclear in the non-archimedean sense.

Two valued measure and some new double sequence spaces in 2 -normed spaces

Pratulananda Das, Ekrem Savaş, Santanu Bhunia (2011)

Czechoslovak Mathematical Journal

The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2 -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.

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