Trotter-Kato product formula for unitary groups
نویسندگان
چکیده
Let A and B be non-negative self-adjoint operators in a separable Hilbert space such that its form sum C is densely defined. It is shown that the Trotter product formula holds for imaginary times in the L-norm, that is, one has
منابع مشابه
A pr 2 00 4 Note on a product formula for unitary groups
For any nonnegative self-adjoint operators A and B in a separable Hilbert space, we show that the Trotter-type formula [(ei2tA/n + ei2tB/n)/2]n converges strongly in dom(A1/2) ∩ dom(B1/2) for some subsequence and for almost every t ∈ R. This result extends to the degenerate case and to Katofunctions following the method of Kato [6]. In a famous paper [6], T. Kato proved that for any nonnegative...
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