%0 Journal Article %1 bhatia1997solve %A Bhatia, Rajendra %A Rosenthal, Peter %D 1997 %J Bulletin of the London Mathematical Society %K hitting linear_equations sylvesters_equation times %N 1 %P 1-21 %R 10.1112/S0024609396001828 %T How and Why to Solve the Operator Equation AX−XB = Y %U http://blms.oxfordjournals.org/content/29/1/1.abstract %V 29 %X The entities A, B, X, Y in the title are operators, by which we mean either linear transformations on a finite-dimensional vector space (matrices) or bounded (= continuous) linear transformations on a Banach space. (All scalars will be complex numbers.) The definitions and statements below are valid in both the finite-dimensional and the infinite-dimensional cases, unless the contrary is stated. 1991 Mathematics Subject Classification 15A24, 47A10, 47A62, 47B47, 47B49, 65F15, 65F30.

@article{bhatia1997solve, abstract = {The entities A, B, X, Y in the title are operators, by which we mean either linear transformations on a finite-dimensional vector space (matrices) or bounded (= continuous) linear transformations on a Banach space. (All scalars will be complex numbers.) The definitions and statements below are valid in both the finite-dimensional and the infinite-dimensional cases, unless the contrary is stated. 1991 Mathematics Subject Classification 15A24, 47A10, 47A62, 47B47, 47B49, 65F15, 65F30.}, added-at = {2016-09-08T23:18:42.000+0200}, author = {Bhatia, Rajendra and Rosenthal, Peter}, biburl = {https://www.bibsonomy.org/bibtex/2f6101421a548d57fea528cd15319e1c7/peter.ralph}, doi = {10.1112/S0024609396001828}, eprint = {http://blms.oxfordjournals.org/content/29/1/1.full.pdf+html}, interhash = {812f134a70d64b6a45d6e1206af8e60b}, intrahash = {f6101421a548d57fea528cd15319e1c7}, journal = {Bulletin of the London Mathematical Society}, keywords = {hitting linear_equations sylvesters_equation times}, number = 1, pages = {1-21}, timestamp = {2016-09-08T23:18:42.000+0200}, title = {How and Why to Solve the Operator Equation {AX−XB = Y}}, url = {http://blms.oxfordjournals.org/content/29/1/1.abstract}, volume = 29, year = 1997 }