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Geometric characterization of Generalized Property (II)
[Submitted on 10 Mar 2025 (v1), last revised 25 Jun 2026 (this v · 2026-06-26 · via math updates on arXiv.org

Mathematics > Functional Analysis

arXiv:2503.06905 (math)

[Submitted on 10 Mar 2025 (v1), last revised 25 Jun 2026 (this version, v2)]

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Abstract:Let $\mathcal{A}$ be a compatible collection of bounded subsets of a Banach space $X$. In this paper, we introduce the notion of $\mathcal{A}$-Property (II) and prove that $X$ has $\mathcal{A}$-Property (II) if and only if every $f$ in $S_{X^*}$ is $\mathcal{A}$-semi PC of $B_{X^*}$.

Submission history

From: Susmita Seal [view email]
[v1] Mon, 10 Mar 2025 04:16:40 UTC (10 KB)
[v2] Thu, 25 Jun 2026 17:54:31 UTC (13 KB)

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