Algebras of unbounded operators and quantum dynamics

DOI10.1016/0378-4371(84)90263-2zbMath0599.47072OpenAlexW2019829728MaRDI QIDQ1080154

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90263-2

zbMATH Keywords

quasi *-algebras algebras of unbounded operators thermodynamical limit \(W^*\)-dynamical system

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (52)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ The Heisenberg dynamics of spin systems: A quasi*-algebras approach ⋮ Bounded version of bosonic creation and annihilation operators and their related quasicoherent states ⋮ The completion of the maximal \(Op^ *\)-algebra on a Frechet domain ⋮ O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras ⋮ Extension of unbounded left Hilbert algebras to partial *-algebras ⋮ Cyclic generalized vectors for algebras of unbounded operators ⋮ Partial *-algebras and Volterra convolution of distribution kernels ⋮ Completely positive conjugate-bilinear maps on partial *-algebras ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ \(WQ^\ast\)-algebras of measurable operators ⋮ Hyers-Ulam-Rassias stability of derivations in proper \(JCQ^\ast\)-triples ⋮ Algebraic dynamics in O*-algebras: A perturbative approach ⋮ Quasi *-algebras and multiplication of distributions ⋮ Locally convex quasi *-algebras of operators ⋮ Strongly Cyclic Vectors for PartialOp*-Algebras ⋮ \(CQ^*\)-algebras: Structure properties ⋮ Representable and continuous functionals on Banach quasi \(*\)-algebras ⋮ Dirichlet forms on partial *-algebras ⋮ Spatial theory of *-automorphisms of partial O*-algebras ⋮ Extensions of positive linear functionals on a topological *-algebra ⋮ Unnamed Item ⋮ Extension of representations in quasi *-algebras ⋮ \(Qu^*\)-algebras and twisted product ⋮ Spatiality of *-derivations of partial O*-algebras ⋮ Partial *-algebras of matrices and operators ⋮ States and derivations on quasi-*-algebras ⋮ Structure of locally convex quasi \(C^*\)-algebras ⋮ Biweights on partial *-algebras ⋮ Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations ⋮ On some applications of representable and continuous functionals of Banach quasi \(^\ast \)-algebras ⋮ Standard partial \(O^*\)-algebras ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Unbounded partial Hilbert algebras ⋮ Homomorphisms and derivations in proper \(JCQ^{*}\)-triples ⋮ Locally convex quasi \(C^{*}\)-normed algebras ⋮ Representability of invariant positive sesquilinear forms on partial *-algebras ⋮ Banach partial \(^*\)-algebras: an overview ⋮ Applications of topological*-algebras of unbounded operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains ⋮ Unnamed Item ⋮ Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Tensor products of normed and Banach quasi \(^*\)-algebras ⋮ *-Bimodules ⋮ Partial *-algebras of distributions ⋮ Representable states on quasilocal quasi *-algebras ⋮ Crossed products of algebras of unbounded operators ⋮ Unnamed Item ⋮ Unnamed Item

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