
It is shown that if \({\mathcal L}\) is a completely distributive commutative subspace lattice or a \({\mathcal J}\)-subspace lattice on a complex separable Hilbert space \(H\), then the space of all bounded derivations of \(\text{alg}({\mathcal L})\) is reflexive. This means that every bounded local derivation on \(\text{alg}({\mathcal L})\) is a derivation.
algebraically reflexive set, local automorphism, Applied Mathematics, Derivations, dissipations and positive semigroups in \(C^*\)-algebras, Local homomorphism, Local derivation, Homomorphism, local derivation, Derivation, reflexive set, Topological algebras of operators, Analysis
algebraically reflexive set, local automorphism, Applied Mathematics, Derivations, dissipations and positive semigroups in \(C^*\)-algebras, Local homomorphism, Local derivation, Homomorphism, local derivation, Derivation, reflexive set, Topological algebras of operators, Analysis
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