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October 1, 2025Pure and Applied Mathematics JournalOpen Access

Computational Models for i(M, K)/i-Quasi-*-Parahyponormal Operators

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Authors

KBKiratu BethNANgoci AbishagOBObiero Ben

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Overview

Analytic results confirm Weyl's theorem and eigenvalues in Hilbert spaces, indicating new computational insights.

Key Points

  • Every operator in the class possesses finite ascent and the single-valued extension property, enhancing spectral theory.
  • The Browder–Weyl partition confirms Weyl's theorem's applicability within this operator class, demonstrating foundational properties.
  • A computational framework translates these operators into large weighted-shift matrices to calculate eigenvalues efficiently.
  • The findings provide substantial numerical evidence for the structural properties of quasi-parahyponormal operators, strengthening their theoretical basis.

Cite This Study

Beth et al. (2025) studied this question.

synapsesocial.com/papers/68dd89defe798ba2fc497c99https://doi.org/10.11648/j.pamj.20251405.13
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Some Properties of (M,k)-quasi Paranormal Operators on Hilbert Spaces2024
  2. 2A note on closed *-paranormal operators and Weyl’s theorem2025
  3. 3Jointly A-Paranormal Tuples of Operators in Semi-Hilbertian Spaces2026
  4. 4Higher-Order Extensions of C-Hyponormality via n-Quasi-C-Hyponormal Operators2026
  5. 5A new study on m-quasi-totally-(α, β)-normal operators in relation to polynomials2025