Closedness of ranges of upper-triangular operators

DOI10.1016/j.jmaa.2009.02.014zbMath1206.47001OpenAlexW2077046307MaRDI QIDQ1022993

Gui-Chun Du, Yan-Ni Dou, Hong-Ke Du, Chun Fang Shao

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.014

zbMATH Keywords

closed rangeoperator matrixupper-triangular operatorKato non-singularity

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (11)

An analogue to a result of Takahashi ⋮ Operator matrices and their Weyl type theorems ⋮ CFI upper triangular operator matrices ⋮ The regular spectrum of upper triangular closed operator matrices ⋮ Extension of the GSMW formula in weaker assumptions ⋮ The (generalized) Weylness of upper triangular operator matrices ⋮ Completions of upper-triangular matrices to Kato nonsingularity ⋮ A generalization of the SMW formula of operator \(A + Y G Z^*\) to the \(\{2 \}\)-inverse case ⋮ An analogue to a result of Takahashi. II ⋮ Closedness of ranges of unbounded upper triangular operator matrices ⋮ On the range of upper triangular relation matrices

Cites Work

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• On the perturbations of spectra of upper triangular operator matrices
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• Essential approximate point spectra and Weyl's theorem for operator matrices
• Invertible completions of operator matrices
• Norm inequalities of positive operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• A note on the spectrum of an upper triangular operator matrix
• Weyl spectra of operator matrices
• Riesz points of upper triangular operator matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A note on Weyl’s theorem for operator matrices
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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