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<p>The article studies the condition S-spectrum of quaternionic operators on a right quaternionic Hilbert space. Specific topological properties of condition S-spectrum are developed. The condition S-spectrum of various classes of normal quaternionic operators is determined. The condition S-spectrum of rank-one and rank-one nilpotent quaternionic operators are identified. It is illustrated that condition S-spectrum helps characterize the norm behavior of non-normal quaternionic operators.</p>

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Condition S-spectrum of Special Quaternionic Operators

  • 期刊论文

  • 发表日期：

    2025年7月6日

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  • Akhitha M S,
  • Krishna Kumar G

摘要

The article studies the condition S-spectrum of quaternionic operators on a right quaternionic Hilbert space. Specific topological properties of condition S-spectrum are developed. The condition S-spectrum of various classes of normal quaternionic operators is determined. The condition S-spectrum of rank-one and rank-one nilpotent quaternionic operators are identified. It is illustrated that condition S-spectrum helps characterize the norm behavior of non-normal quaternionic operators.