On representations of groups and algebras in spaces with indefinite metric
From MaRDI portal
Publication:6186372
DOI10.1007/s10958-024-06907-6WikidataQ130045869 ScholiaQ130045869MaRDI QIDQ6186372
Edward Kissin, Viktor S. Shul'man
Publication date: 2 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Representations of topological algebras with involution (46K10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Linear operators on spaces with an indefinite metric (47B50)
Cites Work
- Non-unitary representations of nilpotent groups. I: Cohomologies, extensions and neutral cocycles
- Representations of nilpotent groups on spaces with indefinite metric
- Modules over operator algebras
- Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls
- On bounded functions with a finite number of negative squares
- Problem of extending representations
- Functional representation of the algebra, generated by a self-adjoint operator in a Pontryagin space
- Field algebras in quantum theory with indefinite metric. III. Spectrum of modular operator and Tomita's fundamental theorem
- Field algebras in quantum theory with indefinite metric. IV
- Symmetric operator extensions of unbounded derivations of \(C^*\)- algebras
- Factorization of completely positive cocycles and the GNS construction of representations in Pontryagin spaces
- Self adjoint extensions satisfying the Weyl operator commutation relations
- One fixed-point theorem
- The approximate fixed point property in Banach and hyperbolic spaces
- Unbounded derivations of \(C^*\)-algebras
- Unbounded derivations of \(C^*\)-algebras II
- Locally \(C^*\)-equivalent algebras
- Certain operator algebras induced by \(^*\)-derivations in \(C^*\)-algebras on an indefinite inner product space
- On quasi-positive definite functions and unitary representations of groups in Pontrjagin spaces
- Bicyclic \(WJ^*\)-algebras in Pontryagin space of type \(\Pi_ 1\)
- Semigroups of representational indices of derivations of \(C^*\)- algebras
- A density theorem on the operator algebra in Pontrjagin space
- On the irreducibility of representations of measurable current groups
- Quasi-Hermitian locally compact groups are amenable
- Derivations of \(C^*\)-algebras and almost Hermitian representations on \(\Pi_ k\)-spaces
- General forms of operator algebras on Pontrjagin space with neutral invariant subspaces
- Unitary operators on a space with an indefinite inner product
- FIXED POINTS OF HOLOMORPHIC TRANSFORMATIONS OF OPERATOR BALLS
- A convexity in metric space and nonexpansive mappings. I.
- On a functional calculus for unitary operators in Pontryagin spaces
- Subdiagonalization of operators in Hilbert space with compact imaginary part
- Dissipative Implementations of ∗-Derivations of C∗-Algebras and Representations in Indefinite Metric Spaces
- Representational indices of derivations of C*-algebras and representations of *-algebras on Krein spaces.
- A framework to study commutation problems
- Differential properties of some dense subalgebras of C*-algebras
- Derivations of C∗-Algebras which contain all Compact Operators and Representations of Q-Subalgebras of these Algebras on Π k -Spaces
- Quasivectors and Tomita–Takesaki Theory for Operator Algebras on Π1-Spaces
- Derivations of C*-Algebras and Representations on Deficiency Spaces of Skew-Symmetric Operators
- On the weakly closed algebra generated by a unitary operator in a Pontryagin space
- 16. Pontryagin–Krein theorem: Lomonosov’s proof and related results
- Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On representations of groups and algebras in spaces with indefinite metric