Results 231 to 240 of about 935 (254)

Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators

SIAM Journal on Numerical Analysis, 1971
Let A be a closed linear operator on a separable Hilbert space $\mathcal{H}$ whose domain is dense in $\mathcal{H}$ Let $\mathcal{X}$ be a subspace of $\mathcal{H}$ contained in the domain of A and let $\mathcal{Y}$ be its orthogonal complement. Let B and C be the compressions of A to $\mathcal{Z}$ and $\mathcal{Y}$ respectively, let $G = Y^ * AX ...
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On Classification of Invariant Subspaces of a Linear Operator

1989
The problem of the classification of invariant subspaces of a linear operator is shown to be at least as complex as the problem of the classification of arbitrary pairs of square matrices up to simultaneous similarity.
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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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Reducing and invariant subspaces under two commuting shift operators

Journal of Mathematical Analysis and Applications, 2023
CARLOS Cabrelli, Victoria Paternostro
exaly  

Note on the Invariant Subspaces of Linear Operators

Rendiconti del Circolo Matematico di Palermo, 1959
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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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Invariant Subspaces for Linear Operators in Locally Convex Spaces

Journal of the London Mathematical Society, 1970
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Operations on arc diagrams and degenerations for invariant subspaces of linear operators. Part II

Communications in Algebra, 2018
Mariusz Kaniecki, Justyna Kosakowska, Markus Schmidmeier   +2 more
exaly  

Quasiaffine orbits of invariant subspaces for uniform Jordan operators

Journal of Functional Analysis, 2014
Raphaël Clouatre
exaly  

On invariant subspaces of operators in the class θ

Journal of Mathematical Analysis and Applications, 2012
Jaewoong Kim
exaly