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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quasitriangular matrices
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by J. Dombrowski
Proc. Amer. Math. Soc. 69 (1978), 95-96
DOI: https://doi.org/10.1090/S0002-9939-1978-0467373-3

Abstract:

It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.
References
  • Paul R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, AMS Chelsea Publishing, Providence, RI, 1998. Reprint of the second (1957) edition. MR 1653399
  • P. R. Halmos, Some unsolved problems of unknown depth about operators on Hilbert space, Proc. Roy. Soc. Edinburgh Sect. A 76 (1976/77), no. 1, 67–76. MR 451002, DOI 10.1017/S0308210500019491
  • Tosio Kato, Perturbation of continuous spectra by trace class operators, Proc. Japan Acad. 33 (1957), 260–264. MR 92133
  • Marvin Rosenblum, Perturbation of the continuous spectrum and unitary equivalence, Pacific J. Math. 7 (1957), 997–1010. MR 90028
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 95-96
  • MSC: Primary 47B15; Secondary 47A65
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0467373-3
  • MathSciNet review: 0467373