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<p>On a Banach ideal the set of continuous traces is spanned by the set of positive traces. We extend this result by showing that on an arbitrary ideal the set of all regular traces is the linear span of the set of positive traces.</p>

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Regular traces on ideals in \(\mathcal {L}(H)\)

  • 期刊论文

  • 发表日期：

    2025年5月16日

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  • F. Sukochev,
  • D. Zanin

摘要

On a Banach ideal the set of continuous traces is spanned by the set of positive traces. We extend this result by showing that on an arbitrary ideal the set of all regular traces is the linear span of the set of positive traces.