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2008•Journal of Jiamusi UniversityRequires access

The Topology Properties of Space(X,T) Characterized by Vector-valued Sequence Space l~1(X)

Chunyan Jiang

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Abstract

The Topology properties of Space(X,T) was studied using vector-valued sequence space l1(X) and Ko-the duals.It is proved that the characteristics of the Space(X,T) to be Barreled Spaces and σ-semibarreled space.The characteristic of a σ-semibarreled space is also semi-nuclear space.

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The Topology properties of Space(X,T) was studied using vector-valued sequence space l1(X) and Ko-the duals.It is proved that the characteristics of the Space(X,T) to be Barreled Spaces and σ-semibarreled space.The characteristic of a σ-semibarreled space is also semi-nuclear space.

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Available abstract

The Topology properties of Space(X,T) was studied using vector-valued sequence space l1(X) and Ko-the duals.It is proved that the characteristics of the Space(X,T) to be Barreled Spaces and σ-semibarreled space.The characteristic of a σ-semibarreled space is also semi-nuclear space.

Key concepts: Space (punctuation), Sequence space, Topology (electrical circuits), Sequence (biology), Mathematics, Dual polyhedron, Normed vector space, Vector space

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