March 30, 2024Open Access

On adjoint invariant classes of shift operators

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Resumen

In the following text we compute the adjoint of weighted generalized shift operators over Hilbert spaces. We show for a conjugate invariant subset A of C, the additive semigroup generated by A\0\-weighted generalized shifts over Hilbert space H is adjoint invariant if and only if H is a finite dimensional Hilbert space or 0 is not a limit point of A.

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Cite This Study

Shirazi et al. (Sat,) studied this question.

synapsesocial.com/papers/68e71ab4b6db6435876947e3 https://doi.org/https://doi.org/10.48550/arxiv.2404.00310

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