On semigroups generated by $m$-accretive operators in a strict sense

On the Sum of Fractional Derivatives and M-accretive Operators

Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators

We study quantum dynamical semigroups generated by noncommutative unbounded elliptic operators which can be written as Lindblad type unbounded generators. Under appropriate conditions, we first construct the minimal quantum dynamical semigroups for the generators and then use Chebotarev and Fagnola’s sufficient conditions for conservativity to show that the semigroups are conservative.

Trotter's Product Formula for Semigroups Generated by Quasilinear Elliptic Operators

Trotter's product formula is given for nonlinear semigroups in L1 (fi^) generated by quasilinear operators of the form Aic)}^t^h'u, where \ + ■ ■ ■ + in L'fr?^).

Conjugacy of Strongly Continuous Semigroups Generated by Normal Operators

In this work, we show that a strongly continuous semigroup generated by a normal operator N is conjugate to the semigroup generated by the real part of N , provided zero is not an eigenvalue of the real part of N . We also show that in case N satisfies a certain sectorial property, the homeomorphism establishing the conjugacy, as well as its inverse, is locally Hölder continuous. Moreover, in c...

Similarity Invariant Semigroups Generated by Non-fredholm Operators

Let A be a bounded operator on a separable, infinite dimensional Hilbert space H. Moreover, assume that A is not in the set C + K(H) of operators expressible as a sum of a scalar multiple of identity and a compact operator. What is the smallest similarity invariant semigroup containing operator A? Equivalently, which operators can be expressed as products of operators, similar to A? A partial a...