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## Main Question or Discussion Point

Let H be a Hilbert space and let S be the set of linear operators on H. Is there a proper subset of S that is dense in S?

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Let H be a Hilbert space and let S be the set of linear operators on H. Is there a proper subset of S that is dense in S?

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mathman

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A more trivial solution would be to consider S \ {0}.

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Way to bring up an old thread ;)

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