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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 3

An investigation of exponentially $m$-isometries within the framework of semi-Hilbert spaces

Sid Ahmed Ould Ahmedmahmoud(College of Science Jouf University. Saudi Arabia)0000-0002-6891-7849
Dijana Mosic(Faculty of Sciences and Mathematics, University of Ni\v{s}, P.O. Box 224 Ni\v{s} 18000, Serbia)0000-0002-3255-9322
Mohamed Amine Aouichaoui(Faculty of Sciences of Monastir: Monastir, Tunisia, TN)0000-0003-0626-3445
Pages
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Publication Date
2025-12-30
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Furthermore, we explore the dynamical behavior of these operators and conclude with an analysis of their spectral properties.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, the concept of exponentially $m$-isometry [31] on a Hilbert space is generalized when an additional semi-inner product is considered.
📊
Key Findings & Data:We present a comprehensive study of the algebraic properties and characterizations of operators within this extended class.
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Conclusion & Impact:Furthermore, we explore the dynamical behavior of these operators and conclude with an analysis of their spectral properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:m-Isometric operator · semi-inner product · exponentially (m

Abstract

In this paper, the concept of exponentially $m$-isometry [31] on a Hilbert space is generalized when an additional semi-inner product is considered. We present a comprehensive study of the algebraic properties and characterizations of operators within this extended class. Furthermore, we explore the dynamical behavior of these operators and conclude with an analysis of their spectral properties.

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Cite This Article

Ahmedmahmoud, S. A. O., Mosic, D., Aouichaoui, M. A. (2025). An investigation of exponentially $m$-isometries within the framework of semi-Hilbert spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 3. https://doi.org/10.15672/hujms.1748698

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