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Computing the \(q\)-\textit{numerical range} of differential operators - MaRDI portal

Computing the \(q\)-\textit{numerical range} of differential operators (Q2218007)

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Computing the \(q\)-\textit{numerical range} of differential operators
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    Computing the \(q\)-\textit{numerical range} of differential operators (English)
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    12 January 2021
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    Summary: A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of the Hilbert space. In this paper, we establish an approximation of the \(q\)-numerical range of bounded and unbounded operator matrices by variational methods. Application to Schrödinger operator, Stokes operator, and Hain-Lüst operator is given.
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    \(q\)-numerical range
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    operator matrices
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    variational methods
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    Schrödinger operator
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    Stokes operator
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    Hain-Lüst operator
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