Extended spectrum, extended eigenspaces and normal operators

DOI10.1016/j.jmaa.2014.03.062zbMath1304.47027OpenAlexW2036376568MaRDI QIDQ489065

Hasan Alkanjo, Gilles Cassier

Publication date: 27 January 2015

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.2014.03.062

zbMATH Keywords

normal operatorsextended eigenspacesextended eigenvaluesproduct of a positive operator by a self-adjoint one

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Eigenvalue problems for linear operators (47A75) Equations involving linear operators, with operator unknowns (47A62)

Related Items (6)

Duhamel Banach algebra structure of some space and related topics ⋮ On the Banach algebra structure for \(C^{(\mathbf{n})}\) of the bidisc and related topics ⋮ Toeplitz-Berezin-type symbols and solutions of some operator equations ⋮ On the solvability of some operator equations ⋮ Extended spectrum of the Aluthge transformation ⋮ Reproducing kernels, Engliš algebras and some applications

Cites Work

• On the operator equation \(BX - XA = Q\)
• Compact operators without extended eigenvalues
• On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• On reproducing subspaces of Volterra operators
• Hyperinvariant subspaces and extended eigenvalues
• On extended eigenvalues of operators
• On extended eigenvalues and extended eigenvectors of truncated shift
• On extended eigenvalues and extended eigenvectors of some operator classes
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