We prove that if T is a polynomially bounded operator and the peripheral spectrum of T has zero measure, then Tⁿx → 0 for all x in X if and only if T* has no nontrivial invariant subspace on which it is invertible and ...

The motion of viscous incompressible fluid with a large number of small solid interacting particles is considered. The asymptotic behavior of small oscillations of the system is studied, when the radii of particles, distances ...