Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Operators quasisimilar to a normal operator


Author: Constantin Apostol
Journal: Proc. Amer. Math. Soc. 53 (1975), 104-106
MSC: Primary 47A65
DOI: https://doi.org/10.1090/S0002-9939-1975-0402522-1
MathSciNet review: 0402522
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A necessary and sufficient condition for an operator to be quasisimilar to a normal operator is given.


References [Enhancements On Off] (What's this?)

  • [1] C. Foias, C. Pearcy and D. Voiculescu, The staircase representation of biquasitriangular operators, Michigan Math. J. (to appear). MR 0405146 (53:8941)
  • [2] T. B. Hoover, Quasi-similarity of operators, Illinois J. Math. 16 (1972), 678-686. MR 47 #866. MR 0312304 (47:866)
  • [3] B. Sz.-Nagy and C. Foias, Analyse harmonique des opérateurs de l'espace de Hilbert, Masson, Paris; Akad. Kiadó, Budapest, 1967; English rev. transl., North-Holland, Amsterdam; American Elsevier, New York; Akad. Kiadó, Budapest, 1970. MR 37 #778; 43 #947. MR 0275190 (43:947)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A65

Retrieve articles in all journals with MSC: 47A65


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0402522-1
Keywords: Quasimilarity, normal operator
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society