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June 11, 2026Bulletin of the London Mathematical SocietyOpen Access

Oppenheim–Schur inequalities for causal products

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Authors

DGDominique GuillotJMJavad MashreghiPVPrateek K. Vishwakarma

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Overview

Randomized trial establishes inequality frameworks for positive semidefinite matrix products, suggesting new connections in matrix analysis.

Key Points

  • This research aims to extend classical Schur and Oppenheim inequalities to causal convolutional products of matrices.
  • Developed a class of Oppenheim–Schur-type inequalities for convolutional Jury products.
  • Introduced a broader family of causal matrix products.
  • Proved unified inequalities that connect classical bounds to convolutional cases.
  • Unified inequalities recover classical Schur and Oppenheim bounds, indicating significant relationships.
  • Positivity constraints effectively interact with causality in matrix operations.
  • Establishes a new framework for understanding positivity-preserving matrix products.

Cite This Study

Guillot et al. (2026) studied this question.

synapsesocial.com/papers/6a2a512e80c8f91e7f39d8bchttps://doi.org/10.1112/blms.70412
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