Non- (quantum) differentiable $C^1$-functions in the spaces with trivial Boyd indices

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dc.creatorPotapov, Denis
dc.creatorSukochev, Fyodor
dc.date2008-08-21
dc.date.accessioned2026-07-07T09:57:39Z
dc.date.available2026-07-07T09:57:39Z
dc.descriptionIf E is a separable symmetric sequence space with trivial Boyd indices and $\cC^E$ is the corresponding ideal of compact operators, then there exists a $C^1$-function $f_E$, a self-adjoint element $W\in \cC^E$ and a densely defined closed symmetric derivation $δ$ on $\cC^E$ such that $W \in Dom δ$, but $f_E(W) \notin Dom δ$.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0808.2856
dc.identifierhttp://arxiv.org/abs/0808.2856
dc.identifierIntegral Equations Operator Theory 57 (2007), no. 2, 247--261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167422
dc.subjectFunctional Analysis
dc.subject47A55; 47L20
dc.titleNon- (quantum) differentiable $C^1$-functions in the spaces with trivial Boyd indices
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