Analytic semigroups in Banach algebras and a theorem of Hille
Analytic semigroups on vector valued noncommutative -spaces
We give sufficient conditions on an operator space E and on a semigroup of operators on a von Neumann algebra M to obtain a bounded analytic or R-analytic semigroup ( on the vector valued noncommutative -space . Moreover, we give applications to the functional calculus of the generators of these semigroups, generalizing some earlier work of M. Junge, C. Le Merdy and Q. Xu.
Analytic vectors and generation of one-parameter groups
Analyticity of the propagators of second order linear differential equations in Banach spaces.
Analytische Vektoren von Faltungshalbgruppen. I.
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solutions of abstract differential equations
The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary differential equation are studied. The right-hand side of the differential equation under investigation contains an unbounded operator which is an infinitesimal generator of a strongly continuous semigroup of operators. Necessary and sufficient conditions are found for a rational function to approximate the given semigroup with high accuracy.
Approximately Invariant Subspaces for Unbounded Linear Operators. II.
Arrival time observables in quantum mechanics
Asymptotic Behaviour of Positive Semigroups.
Asymptotic behaviour of semigroups of operators
Asymptotic stability of an integro-differential equation of parabolic type
Asymptotic stability of Schrödinger semigroups on L2 (RN).
Automorphisms of linear semigroups over division rings.
Boundary Behaviour of Dirchlet Eigenfunctions of Second Order Elliptic Operators.
Boundary values of analytic semigroups and associated norm estimates
The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
Branching Semigroups on Banach Lattices.
-continuity of the Fröbenius-Perron semigroup.
-Scalar operators on cyclic spaces
Cauchy Problems for Polynomial Operator Matrices on Abstract Energy Spaces.