Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space

DOI10.1016/j.jfa.2016.08.001zbMath1466.81020arXiv1209.4224OpenAlexW2491891650MaRDI QIDQ1626417

Eli Shamovich, Victor Vinnikov

Publication date: 27 November 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4224

zbMATH Keywords

Taylor joint spectrumnon-selfadjoint operators and characteristic functionsoverdetermined multidimensional systems (operator vessels)representations of Lie algebras and Lie groups

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Nonselfadjoint operators (47B28)

Related Items (2)

de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ Commuting operators over Pontryagin spaces with applications to system theory

Cites Work

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• Finite-dimensional Sturm-Liouville vessels and their tau functions
• A general framwork for a multi-operator functional calculus
• Analytic vectors
• Curvature colligations
• A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction
• Connection colligations on Hilbert bundles
• Connection colligations of the second order
• On non self-adjoint representations of Lie algebras
• On characteristic operator-functions of Lie algebras
• A proof of the Bieberbach conjecture
• Cohomology of Lie groups
• Minimal factorization of matrix and operator functions
• The inverse problem for the characteristic functions of several commuting operators
• Operator waves in Hilbert space and related partial differential equations
• Discrete time systems, operator models, and scattering theory
• An extension of a theorem of L. O'Raifeartaigh
• Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems
• Harmonic analysis of operators on Hilbert space
• On a class of linear operators in Hilbert space
• Linear matrix inequality representation of sets
• On the first cohomology group for simply connected Lie groups
• Differentiable Representations. I: Induced Representations and Frobenius Reciprocity
• On the Existence of Ad-Nilpotent Elements
• Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
• The Lax conjecture is true
• Semidefinite Optimization and Convex Algebraic Geometry
• Analytic and Entire Vectors for Representations of Lie Groups
• On unitary couplings of semiunitary operators
• The Laplace Transform for Locally Compact Abelian Groups
• Lie algebras of bounded operators

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