On invertible contractions of quotients generated by a differential expression and by a nonnegative operator function

DOI10.1134/S0001434607110028zbMath1176.47005OpenAlexW4246037384MaRDI QIDQ941890

V. M. Bruk

Publication date: 2 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607110028

zbMATH Keywords

integral operatordifferential expressionoperator functiongeneralised resolventholomorphic operatorinvertible contraction

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Linear relations (multivalued linear operators) (47A06)

Related Items (1)

Invertibility of linear relations generated by integral equation with operator measures

Cites Work

• Linear relations in a space of vector functions
• Self-adjoint extensions of symmetric subspaces
• Formally self-adjoint systems of differential operators
• 1.—On Square-integrable Solutions of Symmetric Systems of Differential Equations of Arbitrary Order.
• ON THE CONNECTION BETWEEN SPECTRAL AND OSCILLATION PROPERTIES OF THE STURM-LIOUVILLE MATRIX PROBLEM
• Spectral analysis of linear relations and degenerate operator semigroups
• Extension theory of formally normal and symmetric subspaces
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