Spectral decomposition of a Hilbert space by a Fredholm operator
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Publication:1113436
DOI10.1016/0022-1236(88)90026-2zbMath0662.47012OpenAlexW1964389692MaRDI QIDQ1113436
Publication date: 1988
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(88)90026-2
spectral decompositiondecomposing the Hilbert space into a direct sum of all generalized eigenspacesFredholm operator with countable spectrum in a Hilbert space
(Semi-) Fredholm operators; index theories (47A53) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
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The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ Spectral representation of the resolvent of a discrete operator ⋮ Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications ⋮ The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties ⋮ Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\) ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases ⋮ The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas ⋮ Expansion of Solution in Terms of Generalized Eigenvectors for a Rectilinear Transport Equation ⋮ The nonspectral Birkhoff-regular differential operators determined by \(- D^ 2\)
Cites Work
- Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
- Shorter Notes: A Nonspectral Birkhoff-Regular Differential Operator
- Spectral theory for Fredholm operators
- Five Notes on a Generalization of Quasi-Nilpotent Transformations in Hilbert Space
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