Implications of Extended (A, m)-Isometries
DOI:
https://doi.org/10.29304/jqcsm.2025.17.22208Keywords:
(A,m)-Isometries, Spectral properties, dynamical systems, C*-algebrasAbstract
This paper aims to generalize the concept of -isometry to Hilbert spaces and explore new properties of these operators. We introduce new definitions such as -isometries and fractional isometries, and study their spectral and dynamical properties. In addition, we investigate the relationship between these operators and other concepts in operator theory, such as -algebras and representation theory. We also present potential applications in signal processing and quantum mechanics.
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