Existence of solution of the operator equation \(AX-XB=Q\) with possibly unbounded A,B,Q

DOI10.1016/0898-1221(90)90268-OzbMath0709.47017MaRDI QIDQ921522

Tapas Mazumdar

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

existence and uniquenessdiagonalizablenumerical treatmentincreasing sequence of finite dimensional invariant subspacesleft invertible operators

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the operator equation \(A_ 1XA_ 2-B_ 1XB_ 2=Q\) when \(A_ 1\), \(A_ 2\), \(B_ 1\), \(B_ 2\), Q may be all unbounded
• On the operator equation \(BX - XA = Q\)
• On the equations \(Ax=q\) and \(SX-XT=Q\)
• On the Operator Equation AX + XB = Q
• On the Operator Equation A₁XA₂—B₁XB₂ = Q When Q Has One‐Dimensional Range
• Invertible Solutions to the Operator Equation TA - BT = C
• Essential spectra of elliptic partial differential equations
• The Operator Equation BX - XA = Q with Selfadjoint A and B
• Explicit Solutions of Linear Matrix Equations

This page was built for publication: Existence of solution of the operator equation \(AX-XB=Q\) with possibly unbounded A,B,Q