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How and Why to Solve the Operator Equation AX−XB = Y

How and Why to Solve the Operator Equation AX−XB = Y 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

How and Why to Solve the Operator Equation AX−XB = Y

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References (86)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609396001828
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jan 1, 1997

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