How and why to solve the operator equation AX-XB= Y

Bhatia, Rajendra ; Rosenthal, Peter (1997) How and why to solve the operator equation AX-XB= Y Bulletin of the London Mathematical Society, 29 (1). pp. 1-21. ISSN 0024-6093

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Official URL: http://blms.oxfordjournals.org/cgi/content/abstrac...

Related URL: http://dx.doi.org/10.1112/S0024609396001828

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.

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Deposited On:08 Oct 2010 07:02
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