Show that ((g, h) mapstolangle g, hangle) and ((t, h) mapsto t h) are continuous on (mathcal{H}
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Show that \((g, h) \mapsto\langle g, hangle\) and \((t, h) \mapsto t h\) are continuous on \(\mathcal{H} \times \mathcal{H}\), resp. \(\mathbb{R} \times \mathcal{H}\).
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