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Ken.Wong
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Can we construct non-closable unbounded derivation in abelian C* algebras?

Can we construct an unbounded derivation on abelian C* algebra which is not closable?

One of possible construction may be found in the paper by Bratteli and Robinson(Unbounded derivations of C*-algebras). In the paper they construct $\delta_{0}$ in theorem 15. The only question is that there are no "theorem 15" in this paper. I doubt this is a typo. The only related theorem seems to be theorem 12, but $\delta_{0}$ there is differentiation, which is closable. So I don't know if that counts.

Ken.Wong
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  • 2
  • 7