Titlebook: Operator Commutation Relations; Commutation Relation Palle E. T. Jørgensen,Robert T. Moore Book 1984 D. Reidel Publishing Company, Dordrech

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rofessor Einar Hille spoke on his recent results on the Lie theory of semigroups of linear transformations, . . • "So far only commutative operators have been considered and the product law . . . is the simplest possible. The non-commutative case has resisted numerous attacks in the past and it is o

integrated

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Invariant-Domain Commutation Theory Applied to the Mass-Splitting PrincipleThis chapter serves primarily to illustrate the sorts of applications to commutation problems for physical observables which lie within the scope of the globally-invariant-domain (DR) commutation methods developed in Chapter 3.

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Graph-Density Applied to Resolvent Commutation, and Operational Calculusents R(λ,A) = (λ - Ā). of one closable endomorphism A ∈ .(D) with another such operator B ∈ .(D).. Here, D is taken to be a dense subspace of a Banach space E, and the most easily stated example of such a commutation relation is the geometrically convergent identity for u ∈ D