A necessary condition for quasitriangularity
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- by James A. Deddens PDF
- Proc. Amer. Math. Soc. 32 (1972), 630-631 Request permission
Abstract:
In this note we prove that if T is a quasitriangular operator then $\Lambda (T + K) = \Pi (T + K)$ for all compact operators K.References
- R. G. Douglas and Carl Pearcy, A note on quasitriangular operators, Duke Math. J. 37 (1970), 177–188. MR 257790, DOI 10.1215/S0012-7094-70-03724-5
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- P. R. Halmos, Quasitriangular operators, Acta Sci. Math. (Szeged) 29 (1968), 283–293. MR 234310
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 630-631
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288614-6
- MathSciNet review: 0288614