Trotter's product formula for projections
نویسنده
چکیده
where the limit is taken in the strong operator topology (see e.g. Goldstein [G, Theorem 8.12.] or ChernofF [C] for a comprehensive treatment of product formulas). Now let P G £ (E) be a contractive projection. Then we may consider P as a constant degenerate semigroup on E. It is interesting to know under which circumstances the limit in (1) exists if we replace e by P. More precisely, we ask for conditions which imply that
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