Schur coupling and related equivalence relations for operators on a Hilbert space

DOI10.1016/j.laa.2014.03.038zbMath1311.47004arXiv1402.5046OpenAlexW2963306974MaRDI QIDQ2451665

Dan Timotin

Publication date: 4 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5046

zbMATH Keywords

equivalence after extensionequivalence after one-sided extensionSchur couplingmatricial coupling

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Basic linear algebra (15A99) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (6)

Dual-band general Toeplitz operators ⋮ Equivalence after extension and Schur coupling do not coincide on essentially incomparable Banach spaces ⋮ Equivalence after extension and Schur coupling for relatively regular operators ⋮ Equivalence after extension and Schur coupling coincide for inessential operators ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Equivalence after extension for compact operators on Banach spaces

Cites Work

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• Complementary Schur complements
• Schur complements and state space realizations
• Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces
• On operator ranges
• The Closure of the Regular Operators in a Ring of Operators

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