Trotter’s product formula for projections
نویسندگان
چکیده
The aim of this paper is to examine the convergence of Trotter’s product formula when one of the C0-semigroups is replaced by a projection (which can always be regarded as a constant degenerate semigroup). The motivation to study Trotter’s formula in this setting arises from the fact that for ’nice’ open sets Ω ∈ R the C0-semigroup on L(Ω) generated by the Laplacian with Dirichlet boundary conditions can be obtained as a limit of a formula of this type.
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