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Dergiler / 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
Sayfa
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Yayın Tarihi
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 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the concept of exponentially $m$-isometry [31] on a Hilbert space is generalized when an additional semi-inner product is considered.
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Temel Bulgular & Veri:We present a comprehensive study of the algebraic properties and characterizations of operators within this extended class.
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Sonuç & Katkı:Furthermore, we explore the dynamical behavior of these operators and conclude with an analysis of their spectral properties.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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