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

DOI10.1007/S00020-006-1468-7zbMATH Open1136.47052arXiv0808.2856OpenAlexW2063247914MaRDI QIDQ2464698

Denis Potapov, Fedor Sukochev

Publication date: 17 December 2007

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Abstract: If E is a separable symmetric sequence space with trivial Boyd indices and $c{C}^E$ is the corresponding ideal of compact operators, then there exists a $C^1$-function $f_E$, a self-adjoint element $Winc{C}^E$ and a densely defined closed symmetric derivation $delta$ on $c{C}^E$ such that $WinDomdelta$, but $f_E(W)otinDomdelta$.

Full work available at URL: https://arxiv.org/abs/0808.2856

zbMATH Keywords

derivationscommutator estimates

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Functional calculus in topological algebras (46H30) Operator ideals (47L20) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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