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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 1

Polynomially partial isometric operators

Dijana Mosic(University of Niš, Faculty of Sciences and Mathematics)0000-0002-3255-9322
Pages
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Publication Date
2023-02-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Applying polynomially partial isometries, we solve some equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In order to extend the notion of semi-generalized partial isometries and partial isometries, we introduce a new class of operators called polynomially partial isometries.
📊
Key Findings & Data:Since this new class of operators contains semi-generalized partial isometries, partial isometries, isometries and co-isometries, we proposed a wider class of operators.
💡
Conclusion & Impact:Applying polynomially partial isometries, we solve some equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:partial isometry · isometry · decomposition theorem

Abstract

In order to extend the notion of semi-generalized partial isometries and partial isometries, we introduce a new class of operators called polynomially partial isometries. Since this new class of operators contains semi-generalized partial isometries, partial isometries, isometries and co-isometries, we proposed a wider class of operators. Several basic properties of polynomially partial isometries and some invariant subspaces of corresponding operators are presented. We study decomposition theorems and spectral theorems for polynomially partial isometries, generalizing some well-known results for partial isometries and semi-generalized partial isometries to polynomially partial isometries. Applying polynomially partial isometries, we solve some equations.

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Cite This Article

Mosic, D. (2023). Polynomially partial isometric operators. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 1. https://doi.org/10.15672/hujms.1074783

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