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

Sid Ahmed Ould Ahmedmahmoud; Dijana Mosic; Mohamed Amine Aouichaoui

doi:10.15672/hujms.1748698

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

Abstract

In this paper, the concept of exponentially $m$-isometry \cite{Hedayatian} 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.

Keywords

Supporting Institution

Dijana Mosić is supported by the Ministry of Science, Technological Development and Innovation, Republic of Serbia, grant number 451-03-137/2025-03/200124, and by the project ”Linear operators: invertibility, spectra and operator equations” supported by the Branch of SANU in Niš, grant no. O-30-22.

Ethical Statement

This research was carried out free of any conflicts of interest or personal affiliations that could potentially affect the integrity of the findings.

References

[1] Abeer A. Al Dohiman, M. A. Aouichaoui and O. A. M. Sid Ahmed, Structure and applications of n-quasi exponentially m-isometric operators, Adv. Oper. Theory 10 (3), 1-16, 2025

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis, Pure Mathematics (Other)

Journal Section

Research Article

Authors

Sid Ahmed Ould Ahmedmahmoud
0000-0002-6891-7849
Saudi Arabia

Dijana Mosic
0000-0002-3255-9322
Serbia

Mohamed Amine Aouichaoui ^*
0000-0003-0626-3445
Tunisia

Early Pub Date

December 30, 2025

Publication Date

December 30, 2025

Submission Date

August 1, 2025

Acceptance Date

November 22, 2025

Published in Issue

Year 2026 Number: Advanced Online Publication

DOI

https://doi.org/10.15672/hujms.1748698

IZ

https://izlik.org/JA36JF92BZ

Cite

RIS / Bibtex

APA

Ould Ahmedmahmoud, S. A., 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, Advanced Online Publication. https://doi.org/10.15672/hujms.1748698

AMA

1.Ould Ahmedmahmoud SA, Mosic D, Aouichaoui MA. An investigation of exponentially m-isometries within the framework of semi-Hilbert spaces. Hacettepe Journal of Mathematics and Statistics. 2025;(Advanced Online Publication). doi:10.15672/hujms.1748698

Chicago

Ould Ahmedmahmoud, Sid Ahmed, Dijana Mosic, and Mohamed Amine Aouichaoui. 2025. “An Investigation of Exponentially M-Isometries Within the Framework of Semi-Hilbert Spaces”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1748698.

EndNote

Ould Ahmedmahmoud SA, Mosic D, Aouichaoui MA (December 1, 2025) An investigation of exponentially m-isometries within the framework of semi-Hilbert spaces. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication

IEEE

[1]S. A. Ould Ahmedmahmoud, D. Mosic, and M. A. Aouichaoui, “An investigation of exponentially m-isometries within the framework of semi-Hilbert spaces”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi: 10.15672/hujms.1748698.

ISNAD

Ould Ahmedmahmoud, Sid Ahmed - Mosic, Dijana - Aouichaoui, Mohamed Amine. “An Investigation of Exponentially M-Isometries Within the Framework of Semi-Hilbert Spaces”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (December 1, 2025). https://doi.org/10.15672/hujms.1748698.

JAMA

1.Ould Ahmedmahmoud SA, Mosic D, Aouichaoui MA. An investigation of exponentially m-isometries within the framework of semi-Hilbert spaces. Hacettepe Journal of Mathematics and Statistics. 2025. doi:10.15672/hujms.1748698.

MLA

Ould Ahmedmahmoud, Sid Ahmed, et al. “An Investigation of Exponentially M-Isometries Within the Framework of Semi-Hilbert Spaces”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi:10.15672/hujms.1748698.

Vancouver

1.Sid Ahmed Ould Ahmedmahmoud, Dijana Mosic, Mohamed Amine Aouichaoui. An investigation of exponentially m-isometries within the framework of semi-Hilbert spaces. Hacettepe Journal of Mathematics and Statistics. 2025 Dec. 1;(Advanced Online Publication). doi:10.15672/hujms.1748698