scientific article; zbMATH DE number 1112203

zbMath0965.46009MaRDI QIDQ4373930

Viktor S. Shul'man, Edward Kissin

Publication date: 4 February 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Krein spaces*-derivations\(\pi_\kappa\)-spaces\(C^*\)-algebras implemented by skew-symmetric and dissipative operatorsclassification of generic operator algebrasdifferentiable Banach *-algebrasdomains of *-derivationsgeometry of indefinite metric spacesnondegenerate operator algebrasoperator algebras and representations on indefinite metric spacesPowers's and Arveson's indices of one-parameter semigroups of endomorphismsrepresentations on Krein spacesWeyl operator commutation relations

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear operators on spaces with an indefinite metric (47B50) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (15)

Fuglede-Putnam theorem in algebras with involutions ⋮ Reflexive \(^*\)-derivations and lattices of invariant subspaces of operator algebras associated with them ⋮ Krein C*-modules ⋮ Cohomology and extensions of representations of groups with normal Engel subgroups ⋮ On representations of groups and algebras in spaces with indefinite metric ⋮ Pseudo-unitarizable weight modules over generalized Weyl algebras. ⋮ The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities ⋮ Models of function type for commutative symmetric operator families in Krein spaces ⋮ Non-unitary representations of nilpotent groups. I: Cohomologies, extensions and neutral cocycles ⋮ Representations of nilpotent groups on spaces with indefinite metric ⋮ Ideals of a \(C^{*}\)-algebra generated by an operator algebra ⋮ On action of diffeomorphisms of \(C^{\ast}\)-algebras on derivations ⋮ Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls ⋮ On the K-theoretic classification of dynamically stable systems ⋮ Composition series for analytic continuations of holomorphic discrete series representations of \(\text{SU}_{p,q}\)

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