Linear operator equations
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- by Gunter Lumer and Marvin Rosenblum
- Proc. Amer. Math. Soc. 10 (1959), 32-41
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104167-0
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References
- Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077 C. C. MacDuffee, The theory of matrices, Ergebnisse der Math., 1933.
- G. Lumer, Commutators in Banach algebras, Bol. Fac. Ingen. Agrimens. Montevideo 6 (1957), 57–63 (Spanish, with English summary). MR 88697
- Marvin Rosenblum, On the operator equation $BX-XA=Q$, Duke Math. J. 23 (1956), 263–269. MR 79235
- M. A. Rutman, On certain operator equations in a partially ordered space which have application to the theory of stability according to Lyapunov, Dokl. Akad. Nauk SSSR (N.S.) 101 (1955), 217–220 (Russian). MR 0070070
- Angus E. Taylor, Spectral theory of closed distributive operators, Acta Math. 84 (1951), 189–224. MR 40582, DOI 10.1007/BF02414854
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 32-41
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104167-0
- MathSciNet review: 0104167