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Perturbation theorems for local integrated semigroups and their applications

Sheng Wang Wang, Mei Ying Wang, Yan Shen (2005)

Studia Mathematica

Motivated by a great deal of interest in operators that may not be densely defined and do not generate global integrated semigroups, we establish general perturbation theorems for local integrated semigroups and describe their applications to local complete second order abstract differential equations.

Perturbation theory for Schrödinger operators with complex potentials

Emanuela Caliceti (1985)

Annales de l'I.H.P. Physique théorique

Pointwise limit theorem for a class of unbounded operators in $^{r}$ -spaces

Ryszard Jajte (2007)

Studia Mathematica

We distinguish a class of unbounded operators in $^{r}$ , r ≥ 1, related to the self-adjoint operators in ². For these operators we prove a kind of individual ergodic theorem, replacing the classical Cesàro averages by Borel summability. The result is equivalent to a version of Gaposhkin’s criterion for the a.e. convergence of operators. In the proof, the theory of martingales and interpolation in $^{r}$ -spaces are applied.

Displaying 1 – 3 of 3

Perturbation theorems for local integrated semigroups and their applications

Perturbation theory for Schrödinger operators with complex potentials

Pointwise limit theorem for a class of unbounded operators in r -spaces

Currently displaying 1 – 3 of 3

Pointwise limit theorem for a class of unbounded operators in $^{r}$ -spaces