V. Cachia

most citedNote on a product formula for unitary groups

5 citations · 5 across the 2 of their papers we have counts for

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2 papers

math.FA2004★ 5 cited

Note on a product formula for unitary groups

Vincent Cachia

For any nonnegative self-adjoint operators A and B in a separable Hilbert space, we show that the Trotter-type formula $[(e^{i 2 t A / n} + e^{i 2 tB / n}) /2]^{n}$ converges strongly in the clo…

math.FA2004

Convergence at the origin of integrated semigroups

Vincent Cachia

We study a classification of the kappa-times integrated semigroups (for kappa>0) by the (uniform) rate of convergence at the origin: $∥ S (t) ∥ = O (t^{α})$ , $0 \leq α \leq κ$ . By an improve…