Abstract
We consider the regularization effect of the heat semigroup in a separable Hilbert space. We prove that this semigroup is not differentiable.
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Guiotto, P. Non-Differentiability of Heat Semigroups in Infinite Dimensional Hilbert Spaces. Semigroup Forum 55, 232–236 (1997). https://doi.org/10.1007/PL00005925
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DOI: https://doi.org/10.1007/PL00005925