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Zeitschrift für Analysis und ihre Anwendungen


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Volume 5, Issue 1, 1986, pp. 85–89
DOI: 10.4171/ZAA/182

Published online: 1986-02-28

On Strong Unboundedness of Symmetric Operators

Jürgen Friedrich

It will be shown that for each positive odd integer $n$ there is a symmetric operator $\mathcal T$ in a separable Hilbert space $\mathcal H$ such that $\mathcal T, \mathcal T^3, \dots, \mathcal T^n$ are unbounded from below and $\mathcal T^k \geq 0$ for $k>n$.

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Friedrich Jürgen: On Strong Unboundedness of Symmetric Operators. Z. Anal. Anwend. 5 (1986), 85-89. doi: 10.4171/ZAA/182