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Proceedings of the American Mathematical Society

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Linear operator equations


Authors: Gunter Lumer and Marvin Rosenblum
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
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References [Enhancements On Off] (What's this?)

  • [1] Einar Hille, Functional analysis and semigroups, Amer. Math. Soc. Colloquium Publication, vol. 31, 1948. MR 0025077 (9:594b)
  • [2] C. C. MacDuffee, The theory of matrices, Ergebnisse der Math., 1933.
  • [3] Günter Lumer, Conmutadores en algebras de Banach, Publ. Instituto de Matematica, Montevideo vol. 3 (1957) pp. 53-55. MR 0088697 (19:565f)
  • [4] Marvin Rosenblum, On the operator equation $ BX - XA = Q$, Duke Math. J. vol. 23 (1956) pp. 263-269. MR 0079235 (18:54d)
  • [5] M. A. Rutman, On certain operator equations in a partially ordered space which have applications to the theory of stability according to Lyapunov, Dokl. Akad. Nauk SSSR N.S. vol. 101 (1955) pp. 217-220. MR 0070070 (16:1126f)
  • [6] A. E. Taylor, Spectral theory of closed distributive operators, Acta Mathematica vol. 84 (1951) pp. 189-224. MR 0040582 (12:717c)

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DOI: https://doi.org/10.1090/S0002-9939-1959-0104167-0
Article copyright: © Copyright 1959 American Mathematical Society

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