New generalized results of (A, `ι)-expansive operators on Hilbert spaces with practical comparison

(A,m)-expansive operators on Hilbert spaces

  • Lotfollah Karimi Department of Mathematics, Hamedan University of Technology, Hamedan, Iran
  • Mohammad Esmael Samei Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran https://orcid.org/0000-0002-5450-3127
  • Mohammed K. A. Kaabar Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia

Abstract

In this research, we obtain some result related to a category of linear bounded operators, which is known as $(A, m)$-expansive operators acting on infinite dimentional Hilbert space. Moreover, we provide sufficient conditions which $(A, m)$-expansive operators are not supercyclic. We also supply some spectral properties of $(A, m)$-expansive operators. Some examples are discussed, too.

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References

Dear Prof. Marcelo Moreira Cavalcanti,
Editor-in-Chief of "Boletim da Sociedade Paranaense de Matemática"

I would like to thank you very much for your efforts in the journal. Enclosed, please find the manuscript entitled
"(A,m)-expansive operators on Hilbert spaces"
by "Lotfollah Karimi, Mohammad Esmael Samei, Mohammed K. A. Kaabar"

I would highly appreciate if you could kindly consider it for possible publication in your Journal.

Dear reviewer's are suggested:


Reviewer #1:
Name: Prof. Shahram Rezapour
e-mail: rezapourshahram@yahoo.ca, Sh.rezapour@azaruniv.ac.ir
Affiliation: Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University. Tabriz, IRAN

Reviewer #1:
Name: Prof. Jahed Alzabut
e-mail: jalzabut@psu.edu.sa
Affiliation: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586 Saudi Arabia



Reviewer #3:
Name: Prof. Juan Napoles
e-mail: jnapoles@exa.unne.edu.ar
Affiliation: Universidad Nacional del Nordeste, Argentina

Reviewer #4:
Name: Prof. Thabet Abdeljawad
e-mail: tabdeljawad@psu.edu.sa
Affiliation: Department of Mathematics and General Sciences, Prince Sultan University-Riyadh-KSA, Saudi Arabia


Thank you again for your cooperation.

Best regards

Mohammad Esmael Samei (The corresponding author)

Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
mesamei@basu.ac.ir & mesamei@gmail.com
Published
2025-02-01
Section
Articles