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The dimension of the rational points in Hilbert space. - MaRDI portal

The dimension of the rational points in Hilbert space. (Q2587253)

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The dimension of the rational points in Hilbert space.
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    The dimension of the rational points in Hilbert space. (English)
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    Es wird bewiesen: Die Menge aller Punkte des Hilbertschen Raumes \((x_1, x_2, \dots )\) \(\left( \sum\limits_{i=1}^\infty x_i^2 < \infty \right)\), deren Koordinaten positiv rational sind, hat ebenso wie die Menge aller Punkte, deren Koordinaten Stammbrüche sind, die Dimension 1.
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