The triangular representation of C. Apostol
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- by Richard Bouldin PDF
- Proc. Amer. Math. Soc. 57 (1976), 256-260 Request permission
Abstract:
The existence of the triangular representation of C. Apostol is proved by arguments alternative to the original proof. The briefer development is, hopefully, more perspicuous than the original development.References
- Constantin Apostol, The correction by compact perturbation of the singular behavior of operators, Rev. Roumaine Math. Pures Appl. 21 (1976), no. 2, 155–175. MR 487559 —, Matrix models for operators (to appear).
- Constantin Apostol and Bernard B. Morrel, On uniform approximation of operators by simple models, Indiana Univ. Math. J. 26 (1977), no. 3, 427–442. MR 435902, DOI 10.1512/iumj.1977.26.26033
- Constantin Apostol and Kevin Clancey, Generalized inverses and spectral theory, Trans. Amer. Math. Soc. 215 (1976), 293–300. MR 383121, DOI 10.1090/S0002-9947-1976-0383121-2
- P. A. Fillmore, J. G. Stampfli, and J. P. Williams, On the essential numerical range, the essential spectrum, and a problem of Halmos, Acta Sci. Math. (Szeged) 33 (1972), 179–192. MR 322534
- Seymour Goldberg, Unbounded linear operators: Theory and applications, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0200692
- M. A. Kaashoek, Ascent, descent, nullity and defect: A note on a paper by A. E. Taylor, Math. Ann. 172 (1967), 105–115. MR 222669, DOI 10.1007/BF01350090
- Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. MR 0203473
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 256-260
- MSC: Primary 47A65; Secondary 47B30
- DOI: https://doi.org/10.1090/S0002-9939-1976-0435904-3
- MathSciNet review: 0435904