On lifting of operators to Hilbert spaces induced by positive selfadjoint operators

DOI10.1016/j.jmaa.2004.09.048zbMath1092.46004OpenAlexW2168141300MaRDI QIDQ1772378

Aurelian Gheondea, Petru A. Cojuhari

Publication date: 18 April 2005

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

Full work available at URL: http://hdl.handle.net/11693/24077

zbMATH Keywords

Sobolev spaceboundary value problemsenergy spacepartial differential operatorslifting of operatorsestimation of the spectruminduced Hilbert spacepositive unbounded operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20) Positive linear operators and order-bounded operators (47B65)

Related Items (10)

Operators which preserve a positive definite inner product ⋮ \(A\)-numerical radius and product of semi-Hilbertian operators ⋮ Embeddings, operator ranges, and Dirac operators ⋮ Closely embedded Kreĭn spaces and applications to Dirac operators ⋮ On symmetrizable operators on Hilbert spaces ⋮ Ergodic properties of operators in some semi-Hilbertian spaces ⋮ Partial isometries in semi-Hilbertian spaces ⋮ Closed embeddings of Hilbert spaces ⋮ Positive decompositions of selfadjoint operators ⋮ Some generalizations of \(A\)-numerical radius inequalities for semi-Hilbert space operators

Cites Work

• On the spectra of linked operators
• Spectral theory and interpolation of operators
• Spectra of singular measures as multipliers on \(L^p\)
• Approximation of \(W_{p}\)-continuity sets by \(p\)-Sidon sets
• Symmetrizable completely continuous linear transformations in Hilbert space
• Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space
• Symmetrizable linear transformations
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