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Invariant Semi-definite Subspaces of Linear Operators in Krein Spaces
1974The 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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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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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, 1959openaire +1 more source
Reducing and invariant subspaces under two commuting shift operators
Journal of Mathematical Analysis and Applications, 2023Carlos Cabrelli
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Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II
Communications in Algebra, 2018Mariusz Kaniecki +2 more
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On almost-invariant subspaces and approximate commutation
Journal of Functional Analysis, 2013Alexey I Popov +2 more
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Maximal dimension of invariant subspaces admitted by nonlinear vector differential operators
Journal of Mathematical Physics, 2011Changzheng Qu
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Invariant subspaces of nilpotent linear operators, I
Journal Fur Die Reine Und Angewandte Mathematik, 2008Claus Michael Ringel, Markus Schmidmeier
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Quasiaffine orbits of invariant subspaces for uniform Jordan operators
Journal of Functional Analysis, 2014Raphaël Clouâtre
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