Condition S-spectrum of Special Quaternionic Operators

Akhitha M S () and Krishna Kumar G ()
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Akhitha M S: University of Kerala
Krishna Kumar G: University of Kerala

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1065-1077

Abstract: Abstract 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.

Keywords: S-spectrum; condition S-spectrum; quaternionic operator; non-normal; rank-one; nilpotent; Primary 47S05; Secondary 15A60; 46S05; 47A10. (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00822-5

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