98-708 Neidhardt H., Zagrebnov V.A.

Trotter-Kato product formula and operator-norm convergence (75K, LATeX) Nov 11, 98

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We find necessary and sufficient conditions for the operator-norm convergence of the Trotter-Kato product formula.Using them we prove that this convergence takes place: (i) if the resolvent of one of the involved operators is compact, either (ii) if one operator is relatively compact with respect to another one, or (iii) if the product of resolvents of the involved operators is compact.

Files: 98-708.tex