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Invariant Semi-definite Subspaces of Linear Operators in Krein Spaces

1974
The existence of invariant maximal uniformly definite (Section 1) resp. maximal semi-definite (Sections 2–3) subspaces is treated. In Sections 4–5 an application to quadratic pencils of Hilbert space operators is given. Section 6 contains the statement of some results concerning the spectral function of a positive or positizable selfadjoint operator in
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Structure of Closed Linear Translation Invariant Subspaces of A() and Kernels of Analytic Convolution Operators

1984
Publisher Summary This chapter presents notes on some progress concerning the study of such questions that has been made by the work of Berenstein and Taylor, Meise, and Schwerdtfeger . Even though the results are rather general, the chapter restricts the attention to the special situation introduced in the chapter because this allows a clear ...
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Note on the Invariant Subspaces of Linear Operators

Rendiconti del Circolo Matematico di Palermo, 1959
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Reducing and invariant subspaces under two commuting shift operators

Journal of Mathematical Analysis and Applications, 2023
Carlos Cabrelli
exaly  

Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II

Communications in Algebra, 2018
Mariusz Kaniecki   +2 more
exaly  

On almost-invariant subspaces and approximate commutation

Journal of Functional Analysis, 2013
Alexey I Popov   +2 more
exaly  

Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces

Discrete and Continuous Dynamical Systems, 2007
David Gomez-Ullate, Robert Milson
exaly  

Invariant subspaces of nilpotent linear operators, I

Journal Fur Die Reine Und Angewandte Mathematik, 2008
Claus Michael Ringel, Markus Schmidmeier
exaly  

Quasiaffine orbits of invariant subspaces for uniform Jordan operators

Journal of Functional Analysis, 2014
Raphaël Clouâtre
exaly  

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