https://orcid.org/0000-0002-6891-7849
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Abstract
In this work, the concepts of n-quasi-m-hypercontractive and n-quasi-m-hyperexpansive operators on a Hilbert space are introduced and studied. Some characterizations of these classes of operators are established. Many algebraic and spectral properties related to the members of such classes have been extracted from these characterizations.
Acknowledgments
The authors are extremely grateful to the anonymous reviewers for their valuable comments and suggestions, which have helped improve the quality of our manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was funded by the Deanship of Scientific Research at Jouf University under grant no. [DSR-2021-03-0338].