Tensor Product of Operators Satisfying Zariouh’s Property (gaz), and Stability under Perturbations

نویسندگان

چکیده

For bounded linear operators defined on complex infinite-dimensional Banach space, H. Zariouh, in an article [1] introduced and studied the property (gaz). In this study, through techniques using local spectral theory of operators, we discover sufficient conditions that allow transfer (gaz) from two tensor factors T S to their product T⊗S. The stability under perturbations is also investigated. exemplified by considering suitable classes such as shift convolution m-invertible contractions.

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ژورنال

عنوان ژورنال: Axioms

سال: 2022

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms11050225