All the infinite nest algebras are isomorphic
Author:
Alvaro Arias
Journal:
Proc. Amer. Math. Soc. 115 (1992), 85-88
MSC:
Primary 47D25; Secondary 46L35
DOI:
https://doi.org/10.1090/S0002-9939-1992-1079694-1
MathSciNet review:
1079694
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Abstract | References | Similar Articles | Additional Information
Abstract: All the infinite nest algebras in a separable Hilbert space are completely isomorphic.
- [DGT] W. Davis, D. Garling, and N. Tomczak-Jaegermann, The complex convexity of quasinormed linear spaces, J. Funct. Anal. 55 (1984), 110-150. MR 733036 (86b:46032)
- [L] D. Larson, Nest algebras and similarity transformations, Ann. of Math. 121 (1988), 409-427. MR 794368 (86j:47061)
- [PPW] V. Paulsen, S. Power, and J. Ward, Semidiscreteness and dilations of nest algebras, J. Funct. Anal. 80 (1988), 76-87. MR 960224 (89h:47064)
- [Pe1] A. Pełczyński, Projections in certain Banach spaces, Studia Math. 19 (1960), 209-228. MR 0126145 (23:A3441)
- [Pe2] -, Banach spaces of analytic functions and absolutely summing operators, CBMS Regional Conf. Ser. 30, Amer. Math. Soc., Providence, R. I., 1977. MR 0511811 (58:23526)
- [Po] S. Power, Analysis in nest algebras, Surveys of Recent Results in Operator Theory (J. Conway, ed.), Pitman Research Notes in Math., Longman, vol. 192, 1988, pp. 189-234. MR 976846 (90b:47079)
- [R] J. R. Ringrose, On some algebras of operators II, Proc London Math. Soc. (3) 16 (1966), 385-402. MR 0196516 (33:4703)
- [S]
A. Szankowski,
does not have the approximation property, Acta Math. 147 (1981), 89-108. MR 631090 (83a:46033)
- [W] P. Wojtaszczyk, On projections in spaces of bounded analytic functions, with applications, Studia Math. 65 (1979), 147-173. MR 557489 (82a:46059)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1992-1079694-1
Keywords:
Nest algebra,
completely isomorphic
Article copyright:
© Copyright 1992
American Mathematical Society