Does every bounded operator on a complex Hilbert space have an eigenvalue? – math.stackexchange.com

Does every bounded operator on a complex Hilbert space have an eigenvalue? – math.stackexchange.com

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Is the following statment true? Let $\mathscr{H}$ be a complex Hilbert space and let $\varphi: \mathscr{H} \to \mathscr{H}$ be a bounded operator. Does $\varphi$ have an eigenvalue in general? If ...

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