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/sci/ - Science & Math

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>> No.11526515 [View]
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11526515

>>11526466
if 0.999... is in S and S is in bijection with the natural numbers. then which natural number corresponds to 0.999... ?

>> No.11525835 [View]
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11525835

Take a norm-closed subset [math]X[/math] of a hilbert space [math]\mathcal{H}[/math]. We get a set of trace-class operators by defining [math]\{ xx^* : x \in X \}[/math]. Is this set norm-closed in the space of trace-class operators?

>> No.11525834 [DELETED]  [View]
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11525834

Take a norm-closed subset [math]X[/math] of a hilbert space [math]\mathcal{H}[/math]. We get a set of trace-class operators by defining [math]\{ xx^* : x \in X \rset[/math]. Is this set norm-closed in the space of trace-class operators?

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