Counterexample to the Trotter product formula for projections

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dc.creatorMatolcsi, Mate
dc.creatorShvidkoy, Roman
dc.date2001-09-07
dc.date.accessioned2026-07-07T04:43:18Z
dc.date.available2026-07-07T04:43:18Z
dc.descriptionWe constructed a unitary semigroup $(e^{tA})_{t \geq 0}$ on a Hilbert space and an orthogonal projection $P$ such that the limit $\lim_{n \to \infty} [ e^{\frac{t}{n}A}P ]^n$ does not exist strongly. A similar example with a positive contractive semigroup and positive contractive projection on $L_p$ is also constructed.
dc.identifierhttps://arxiv.org/abs/math/0109049
dc.identifierhttp://arxiv.org/abs/math/0109049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62159
dc.subjectFunctional Analysis
dc.subject47d03
dc.titleCounterexample to the Trotter product formula for projections
dc.typetext

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