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THE TOPOLOGY PROPERTIES OF SPACE (X, T) ARE CHARACTERIZED BY VECTOR—VALUED SEQUENCE SPACE l~1(X)

WU Jund

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Abstract

We make use of vector-Valued Sequence Space l~1 (X) and Kothe duales to study the Topology properties of Space (X,T). We prove the characteristics of the Space (X, T) to be Barreled Spaces and α-semibarreled space. We prove the characteristic of a α- semibarreled space to be semi-Nuclear space, also.

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What this paper is about

We make use of vector-Valued Sequence Space l~1 (X) and Kothe duales to study the Topology properties of Space (X,T). We prove the characteristics of the Space (X, T) to be Barreled Spaces and α-semibarreled space. We prove the characteristic of a α- semibarreled space to be semi-Nuclear space, also.

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Available abstract

We make use of vector-Valued Sequence Space l~1 (X) and Kothe duales to study the Topology properties of Space (X,T). We prove the characteristics of the Space (X, T) to be Barreled Spaces and α-semibarreled space. We prove the characteristic of a α- semibarreled space to be semi-Nuclear space, also.

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

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