Maximal Semidefinite Invariant Subspaces for J-dissipative Operators

DOI10.1007/978-3-0348-0297-0_33zbMath1277.47052OpenAlexW190834482MaRDI QIDQ3144001

Sergei G. Pyatkov

Publication date: 6 December 2012

Published in: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0297-0_33

zbMATH Keywords

Krein spaceinvariant subspaceanalytic semigroupdissipative operatorPontryagin space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Invariant subspaces of linear operators (47A15) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality

Cites Work

• On the similarity of a \(J\)-nonnegative Sturm-Liouville operator to a self-adjoint operator
• Invariant subspaces for a class of operators in spaces with indefinite metric
• Similarity of some singular operators to self-adjoint ones
• Operator theory. Nonclassical problems
• On the similarity of some differential operators to self-adjoint ones
• Dissipative operators in a Krein space. Invariant subspaces and properties of restrictions
• The functional calculus for sectorial operators
• Eine Verallgemeinerung eines Satzes von L. S. Pontrjagin
• Holomorphic functional calculi of operators, quadratic estimates and interpolation
• DISSIPATIVE OPERATORS IN A HILBERT SPACE WITH AN INDEFINITE METRIC
• One-Parameter Semigroups for Linear Evolution Equations
• The Operator (sgn x) d 2 dx 2 is Similar to a Selfadjoint Operator in L 2 ( R )
• Indefinite Sturm-Liouville operators (sgn x)(-d2/dx2+q(x)) with finite-zone potentials
• On \(J\)-self-adjoint differential operators similar to self-adjoint operators
• Commutativite de deux foncteurs d'interpolation et applications
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