An inertia theory for operators on a Hilbert space
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Publication:2557028
DOI10.1016/0022-247X(73)90183-2zbMath0251.47005MaRDI QIDQ2557028
Publication date: 1973
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60) Convex sets and cones of operators (47L07)
Related Items
Inertia and controllability in infinite dimensions, Multiplicative perturbations of stable and convergent operators, Inertia of the Stein transformation with respect to some nonderogatory matrices, One property of dynamical semigroups, Inertia theory, Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors, \(M\)-operators on partially ordered Banach spaces, Stability and inertia, Solutions to \(x-axb=w\), Spectrum separation and inertia for operator polynomials, Power convergence and pseudoinverses of operators in Banach spaces, Inertia theorems for operator Lyapunov inequalities, Numerical range and accretivity of operator products, On positive semidefinite solutions of the operator Lyapunov equation
Cites Work
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- Topological proofs for certain theorems on matrices with non-negative elements
- An elementary proof of a fundamental theorem in the theory of Banach algebras
- Some theorems on the inertia of general matrices
- Matrices \(C\) with \(C^ n\to 0\)
- Similarity and the numerical range
- Positive operators and an inertia theorem
- Remarks on a paper of Taussky
- Inertia theorems for matrices: the semidefinite case
- Positive operators compact in an auxiliary topology
- A Generalization of a Theorem of Lyapunov
- Linear Operator Equations
- Topological Aspects of Sylvester's Theorem on the Inertia of Hermitian Matrices
