2006Bulletin of the Belgian Mathematical Society - Simon StevinRequires access

Bounded sets and dual strong sequences in locally convex spaces

Bella Tsirulnikov

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Abstract

Given a duality $\langle E, F\rangle$, a dual strong sequence is a sequence of bidual enlargements of $F$ in the algebraic dual $E^\ast$ of $E$. In this article, we investigate the bounded sets generated by a dual strong sequence and related associated topologies.

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What this paper is about

Given a duality $\langle E, F\rangle$, a dual strong sequence is a sequence of bidual enlargements of $F$ in the algebraic dual $E^\ast$ of $E$. In this article, we investigate the bounded sets generated by a dual strong sequence and related associated topologies.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Given a duality $\langle E, F\rangle$, a dual strong sequence is a sequence of bidual enlargements of $F$ in the algebraic dual $E^\ast$ of $E$. In this article, we investigate the bounded sets generated by a dual strong sequence and related associated topologies.

Key concepts: Bounded function, Dual (grammatical number), Sequence (biology), Duality (order theory), Mathematics, Algebraic number, Regular polygon, Combinatorics

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