Diagonalization of shift-preserving operators
نویسندگان
چکیده
In this note we study the structure of shift-preserving operators acting on a finitely generated shift-invariant space. We define new notion diagonalization for these operators, which call s-diagonalization. give necessary and sufficient conditions bounded operator in order to be s-diagonalizable. These are terms its range operator. also obtain generalized Spectral Theorem normal operators.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.107892