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Research Paper#Functional Analysis, Operator Theory🔬 ResearchAnalyzed: Jan 3, 2026 15:36

Functional Models for Gamma-n Contractions

Published:Dec 30, 2025 17:03
1 min read
ArXiv

Analysis

This paper explores functional models for Γ_n-contractions, building upon existing models for contractions. It aims to provide a deeper understanding of these operators through factorization and model construction, potentially leading to new insights into their behavior and properties. The paper's significance lies in extending the theory of contractions to a more general class of operators.
Reference

“The paper establishes factorization results that clarify the relationship between a minimal isometric dilation and an arbitrary isometric dilation of a contraction.”

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Research#llm🔬 ResearchAnalyzed: Jan 4, 2026 10:08

Cartesian-nj: Extending e3nn to Irreducible Cartesian Tensor Product and Contracion

Published:Dec 18, 2025 18:49
1 min read
ArXiv

Analysis

This article announces a technical advancement in the field of 3D deep learning, specifically focusing on extending the capabilities of the e3nn library. The core contribution appears to be related to handling irreducible Cartesian tensor products and contractions, which are important for representing and manipulating data with specific symmetries. The source being ArXiv suggests this is a pre-print, indicating ongoing research and potential for future developments and peer review.
Reference

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