Bounded sets and dual strong sequences in locally convex spaces
Bella Tsirulnikov
Abstract
Bella Tsirulnikov
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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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