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Petro z sela

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^{[itex]\times[/itex]}(H is infinite-dimensional and separable).

- Is the Ω a separable space?
- Is the Ω
^{[itex]\times[/itex]}a separable space? - Consider the complete set of commuting observables (CSCO) which contain both bounded and unbounded operators. Eigenvectors of CSCO span the space of states. Is this space of states Ω or H?
- I know that unbounded closed operators have domain Ω and map Ω into Ω. And what about bounded (compact) operators: Ω into Ω, Ω into H or somewhat else?
- In what space do CSCO form algebra?