Singular evolution problems, regularization, and applications to physics, engineering, and biology
Slepian's inequality and commuting semigroups
Slowly changing vectors and the asymptotic finite-dimensionality of an operator semigroup.
Small ideals of operators
Small-time asymptotic estimates in local Dirichlet spaces.
Smooth Perturbations in Non-Reflexive Banach Spaces.
Smoothing effect for Schrödinger evolution equation via commutator algebra
Smoothing metrics for measures on groups
s-Numbers of operators in Banach spaces
Solution semigroup and invariant manifolds for functional equations with infinite delay
It is proved that parabolic equations with infinite delay generate -semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.
Some applications of fractional calculus to operator semigroups and functional calculus
We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.
Some condensation theorems for semigroup operators.
Some conditions for a -semigroup to be asymptotically finite-dimensional.
Some density theorems for Toeplitz operators on Bergman spaces
Some ergodic theorems for commuting contractions
Some facts from descriptive set theory concerning essential spectra and applications
Let X be a separable Banach space and denote by 𝓛(X) (resp. 𝒦(ℂ)) the set of all bounded linear operators on X (resp. the set of all compact subsets of ℂ). We show that the maps from 𝓛(X) into 𝒦(ℂ) which assign to each element of 𝓛(X) its spectrum, approximate point spectrum, essential spectrum, Weyl essential spectrum, Browder essential spectrum, respectively, are Borel maps, where 𝓛(X) (resp. 𝒦(ℂ)) is endowed with the strong operator topology (resp. Hausdorff topology). This enables us...
Some Landau's type inequalities for infinitesimal generators.
Some Perturbation Results for Analytic Semigroups.
Some properties of strong Feller semigroups on L2-spaces.
Some properties of weighted Sobolev spaces in