Invertible completions of operator matrices

DOI10.1007/BF01299969zbMath0824.47002MaRDI QIDQ1892625

Katsutoshi Takahashi

Publication date: 19 June 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

operator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (24)

An analogue to a result of Takahashi ⋮ Self-adjoint perturbations of spectra for upper triangular operator matrices ⋮ Left invertibility of formal Hamiltonian operators ⋮ On the point and residual spectrum of the operator matrix M_X ⋮ The intersection of the spectra of operator completions. ⋮ Weylness of 2 × 2 operator matrices ⋮ Invertibility of operator matrices on a Banach space ⋮ On the strong stabilization of slowly time-varying linear systems ⋮ On strong stabilization of asymptotically time-invariant linear time-varying systems ⋮ On the perturbations of spectra of upper triangular operator matrices ⋮ Completions of upper-triangular matrices to Kato nonsingularity ⋮ Max-min problems on the ranks and inertias of the matrix expressions \(A - BXC \pm (BXC)^{\ast}\) with applications ⋮ The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems ⋮ On the right (left) invertible completions for operator matrices ⋮ On strong stabilization for linear time-varying systems ⋮ Some results on Fredholmness and boundedness below of an upper triangular operator matrix ⋮ The semi-Fredholmness of \(2\times 2\) operator matrices ⋮ Closedness of ranges of upper-triangular operators ⋮ On Weyl completions of partial operator matrices ⋮ An analogue to a result of Takahashi. II ⋮ On the invertibility of upper triangular operator matrices ⋮ Different completions of \(A + CX\) ⋮ Closedness of ranges of unbounded upper triangular operator matrices ⋮ Left invertible completions of upper triangular operator matrices with unbounded entries

Cites Work

• An introduction to operator polynomials
• Classes of linear operators. Vol. I
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Unnamed Item

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