Multivalued linear operator equation \(A^*A = \lambda A^n\)

DOI10.1007/s11785-020-01045-8OpenAlexW3105065488MaRDI QIDQ2220205

Adrian Sandovici, Marcel Roman

Publication date: 22 January 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-01045-8

zbMATH Keywords

Hilbert spaceclosed linear relationselfadjoint linear relationskew-adjoint linear relationmultivalued operator equation

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Special classes of linear operators (47B99) Linear relations (multivalued linear operators) (47A06) Operators on Hilbert spaces (general) (47B02)

Related Items (1)

Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators

Cites Work

• Unnamed Item
• Operational calculus of linear relations
• Form sums of nonnegative selfadjoint operators
• Self-adjointness and skew-adjointness criteria involving powers of linear relations
• On the adjoint of linear relations in Hilbert spaces
• Hereditary Classes of Operators and Matrices
• Von Neumann’s theorem for linear relations
• On the adjoint of Hilbert space operators
• Words and normality of matrices
• On the operator equations Aⁿ = A*A
• Extension theory of formally normal and symmetric subspaces

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