Unbounded derivations in operator algebras
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Publication:1230381
DOI10.1016/0022-1236(75)90007-5zbMath0337.46048OpenAlexW1966649651MaRDI QIDQ1230381
Robert T. Powers, Shôichirô Sakai
Publication date: 1975
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(75)90007-5
Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05) Linear operators in ({}^*)-algebras (47C10)
Related Items (22)
The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ The existence problem for dynamics of dissipative systems in quantum probability ⋮ Generation of semigroups, and two-dimensional quantum lattice systems ⋮ Commutators of Hamiltonian operators and non-Abelian algebras ⋮ Non-commutative shifts and crossed products. ⋮ Unbounded derivations tangential to compact groups of automorphisms ⋮ Unbounded derivations ⋮ On commutative normal \(^*\)-derivations ⋮ Unbounded derivations of \(C^*\)-algebras II ⋮ Dissipations and derivations ⋮ Classical KMS condition and Tomita-Takesaki theory ⋮ Approximately reducing subspaces for unbounded linear operators ⋮ On commutative normal \(^*\)-derivations. II ⋮ Quasi-free derivations on the canonical anticommutation relation algebra ⋮ On one-parameter groups of automorphisms, and extensions of symmetric operators associated with unbounded derivations in operator algebras ⋮ Certain operator algebras induced by \(^*\)-derivations in \(C^*\)-algebras on an indefinite inner product space ⋮ On weakly \(D\)-differentiable operators ⋮ Inner Limit Derivations ⋮ Dissipative mappings with approximately invariant subspaces ⋮ Unbounded derivations in AT algebras ⋮ Locally representable one-parameter automophism groups of AF algebras and KMS states ⋮ Monotone convergence of operator semigroups and the dynamics of infinite particle systems
Cites Work
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- Analytic vectors
- Approximation of semi-groups of operators
- Existence of ground states and KMS states for approximately inner dynamics
- Some remarks on the ground state of infinite systems in statistical mechanics
- On perturbation theory for semi-groups of operators
- Derivations of matroid \(C^*\)-algebras
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