Matolcsi, Máté; Shvidkoy, Roman Trotter’s product formula for projections. (English) Zbl 1054.47033 Arch. Math. 81, No. 3, 309-317 (2003). Author’s abstract: “The aim of this paper is to examine the convergence of Trotter’s product formula when one of the \(C_0\)-semigroups is replaced by a projection (which can always be regarded as a constant degenerate semigroup). The motivaton to study Trotter’s formula in this setting arises from the fact that for ‘nice’ open sets \(\Omega \subset \mathbb{R}^n\), the \(C_0\)-semigroup on \(L^{2}(\Omega)\) generated by the Laplacian with Dirichlet boundary conditions can be obtained as a limit of a formula of this type.” Reviewer: Miklavž Mastinšek (Maribor) Cited in 9 Documents MSC: 47D06 One-parameter semigroups and linear evolution equations 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) Keywords:convergence; Trotter’s product formula; \(C_0\)-semigroups PDFBibTeX XMLCite \textit{M. Matolcsi} and \textit{R. Shvidkoy}, Arch. Math. 81, No. 3, 309--317 (2003; Zbl 1054.47033) Full Text: DOI Link