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This thesis is about the study of the norm ||G+T|| of a compact perturbation of an operator G acting between Banach spaces. We first use the Daugavet property's point...

Let $L= -\Delta+ V$ be a Schrödinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse Hölder class...

We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a...

8 pages

International audience