Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\)

DOI10.1007/s11785-019-00899-xzbMath1461.47041OpenAlexW2914745990MaRDI QIDQ2313087

Bogdan D. Djordjević

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1007/s11785-019-00899-x

zbMATH Keywords

Banach spacesresolventspectrumholomorphic functionsoperator equationsinvertibility of operatorsmodules of bounded linear operators

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Holomorphic functions of several complex variables (32A10) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (4)

On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ On the solutions of the operator equation XAX  =  BX ⋮ Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems ⋮ Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach

Cites Work

• On a result of J.J. Sylvester
• Weighted least squares solutions of the equation \(AXB-C=0\)
• Solutions to operator equations on Hilbert \(C^*\)-modules. II
• On the operator equation \(BX - XA = Q\)
• Estimates of the discrete spectrum of a linear operator pencil
• Positive solutions to operator equations \(AXB=C\)
• On commutator of generalized Aluthge transformations and Fuglede-Putnam theorem
• On skew \([m,C\)-symmetric operators]
• Outer functions and divergence in de Branges-Rovnyak spaces
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• Solving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\)
• The polynomial solution to the Sylvester matrix equation
• Generalized inverses and Douglas equations
• How and Why to Solve the Operator Equation AX −XB = Y
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Operator algebra generated by an element from the module \(\mathcal {B}(V_1,V_2)\)