1995Ha'erbin gongye daxue xuebaoRequires access

Ordered Generalized Sequence Spaces and their Duals

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Abstract

The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generalized Kothe dual ∧x(Xso), defined corresponding to the dual pair X, Xso.

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What this paper is about

The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generalized Kothe dual ∧x(Xso), defined corresponding to the dual pair X, Xso.

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Available abstract

The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generalized Kothe dual ∧x(Xso), defined corresponding to the dual pair X, Xso.

Key concepts: Dual polyhedron, Sequence (biology), Dual (grammatical number), Mathematics, Sequence space, Order (exchange), Dual space, Pure mathematics

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