Resolvent estimates for operators belonging to exponential classes

Oscar F. Bandtlow

For $a,\alpha >0$ let $E(a,\alpha )$ be the set of all compact operators $A$ on a separable Hilbert space such that $s_n(A)=O(\exp (-a{n}^{\alpha }))$, where $s_n(A)$ denotes the $n$-th singular number o…