Abstract.
If E is a separable symmetric sequence space with trivial Boyd indices and \( \mathfrak{S}^{E} \) is the corresponding ideal of compact operators, then there exists a C1-function f E , a self-adjoint element \( W \in \mathfrak{S}^{E} \) and a densely defined closed symmetric derivation δ on \( \mathfrak{S}^{E} \) such that \( W \in Dom\delta \), but \( f_{E} (W) \notin Dom\delta. \)
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Potapov, D., Sukochev, F. Non- (Quantum) Differentiable C1-Functions in the Spaces with Trivial Boyd Indices. Integr. equ. oper. theory 57, 247–261 (2007). https://doi.org/10.1007/s00020-006-1468-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00020-006-1468-7