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February 28, 2026MathematicsOpen Access

Higher-Order Extensions of C-Hyponormality via n-Quasi-C-Hyponormal Operators

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Authors

SMSid Ahmed Ould Ahmed MahmoudHAHadi Obaid Alshammari

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Overview

Investigates extensions of C-hyponormal operators, revealing new insights into operator behavior and properties.

Key Points

  • To explore generalizations of C-hyponormal operators, specifically n-quasi-C-hyponormal operators.
  • Analyzed structural properties of n-quasi-C-hyponormal operators
  • Decomposed operators into C-hyponormal and nilpotent parts
  • Examined the behavior of these operators under various operations like direct sums and tensor products
  • Provided illustrative examples to demonstrate findings
  • Demonstrated conditions under which n-quasi-C-hyponormality is preserved in various operations
  • Revealed new insights into the relationship between C-symmetry and quasi-hyponormality
  • Outlined both possibilities and limitations of extending C-hyponormal operators

Cite This Study

Mahmoud et al. (2026) studied this question.

synapsesocial.com/papers/69a286a70a974eb0d3c01c4chttps://doi.org/10.3390/math14050782
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