Proceedings of the Japan Academy

On some examples of non-normal operators, IV

Masatoshi Fujii and Ritsuo Nakamoto

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 49, Number 8 (1973), 591-595.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195519222

Digital Object Identifier
doi:10.3792/pja/1195519222

Mathematical Reviews number (MathSciNet)
MR0336423

Zentralblatt MATH identifier
0297.47024

Subjects
Primary: 47B20: Subnormal operators, hyponormal operators, etc.

Citation

Fujii, Masatoshi; Nakamoto, Ritsuo. On some examples of non-normal operators, IV. Proc. Japan Acad. 49 (1973), no. 8, 591--595. doi:10.3792/pja/1195519222. https://projecteuclid.org/euclid.pja/1195519222


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References

  • i) S. K. Berberian: A note on an operator whose spectrum is a spectral set. Acta Sci. Math. Szeged 27, 201-203 (1966).
  • M. Fuji: On some examples of non-normal operators. I-III, Proc. Japan Acad., 47, 458-463 (1971), 48, 118-123 and 124-129 (1972).
  • T. Furuta and R. Nakamoto: On the numerical range of an operator. Proc. Japan Acad., 47, 279-284 (1971).
  • S. Hildebrandt: Uber den numerische Wertebereich eines Operators. Math. Ann., 163, 230-247 (1966).
  • A. Lebow: On von Neumann's theory of spectral set. J. Math. Anal. Appl., 7, 64-90 (1963).
  • G. R. Luecke: A class of operators on Hilbert space. Pacif. J. Math., 41, 153-156 (1972).
  • J. von Neumann: Eine Spektraltheorie f ur allgemeine Operatoren eines unitaren Raumes. Math. Nachr., 4, 258-281 (1951).

See also

  • Part I: Masatoshi Fujii. On some examples of non-normal operators. Proc. Japan Acad., Volume 47, Number 5 (1971), 458--463.
  • Part II: Masatoshi Fujii. On some examples of non-normal operators, II. Proc. Japan Acad., Volume 49, Number 2 (1973), 118--123.
  • Part III: Masatoshi Fujii. On some examples of non-normal operators, III. Proc. Japan Acad., Volume 49, Number 2 (1973), 124--129.