论文标题
Banach空间上的操作员 - 现象猪猪肉产品公式
Operator-norm Trotter product formula on Banach spaces
论文作者
论文摘要
在本文中，我们收集了有关{operator-norm}的结果{trotter}两个半群的产品公式$ \ {\ e^{ - t a} \} _ { {Banach}空间中的$ B $。尽管自从Trotter（1959）的开创性论文以来，Banach空间中的{强}收敛性在{operator-norm（1993）的空间中，{hilbert-norm}拓扑中的{operator-norm}拓扑中的{operator-norm（1993年），{2001）的空间{2001 convergenge in {ban convergence in {ban convergence in {hilbert}空间{2001）contractegence in {2001）convergence in {ban convergence，
In this paper we collect results concerning the {operator-norm} convergent {Trotter} product formula for two semigroups $\{\e^{- t A}\}_{t\geq 0}$, $\{\e^{- t B}\}_{t\geq 0}$, with densely defined generators $A$ and $B$ in a {Banach} space. Although the {strong} convergence in Banach space for contraction semigroups is known since the seminal paper by Trotter (1959), which after more than three decades was extended to convergence in the {operator-norm} topology in {Hilbert} spaces by Rogava (1993), the {operator-norm} convergence in a {Banach} space was established only in (2001).
