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Allen, G. D.; Shen, L. C.

On the structure of principal ideals of operators. (English) Zbl 0384.47029

Trans. Am. Math. Soc. 238, 253-270 (1978).
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Cited in 2 Documents

MSC:

47L30 Abstract operator algebras on Hilbert spaces
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References:

[1] Z. Altshuler, Uniform convexity in Lorentz sequence spaces, Israel J. Math. 20 (1975), no. 3-4, 260 – 274. · Zbl 0309.46007 · doi:10.1007/BF02760331
[2] A. Blass and G. Weiss, A characterization and sum decomposition for operator ideals (preprint). · Zbl 0414.47017
[3] Arlen Brown, Carl Pearcy, and Norberto Salinas, Ideals of compact operators on Hilbert space, Michigan Math. J. 18 (1971), 373 – 384. · Zbl 0225.46066
[4] J. W. Calkin, Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math. (2) 42 (1941), 839 – 873. · Zbl 0063.00692 · doi:10.2307/1968771
[5] I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfadjoint operators, Translated from the Russian by A. Feinstein. Translations of Mathematical Monographs, Vol. 18, American Mathematical Society, Providence, R.I., 1969. · Zbl 0181.13503
[6] David Morris and Norberto Salinas, Semiprime ideals and irreducible ideals of the ring of bounded operators on Hilbert space, Indiana Univ. Math. J. 23 (1973/74), 575 – 589. · Zbl 0271.46057 · doi:10.1512/iumj.1974.23.23048
[7] Norberto Salinas, Symmetric norm ideals and relative conjugate ideals, Trans. Amer. Math. Soc. 188 (1974), 213 – 240. · Zbl 0291.47018
[8] Norberto Salinas, Ideals of commutators of compact operators, Acta Sci. Math. (Szeged) 36 (1974), 131 – 144. · Zbl 0299.47019
[9] Norberto Salinas, Ideal sets and ideals of compact operators on Hilbert space, Indiana Univ. Math J. 22 (1972/73), 505 – 521. · Zbl 0252.46063 · doi:10.1512/iumj.1972.22.22043
[10] Allen Schweinsberg, Principal ideals of compact operators, Indiana Univ. Math. J. 25 (1976), no. 3, 229 – 233. · Zbl 0323.46013 · doi:10.1512/iumj.1976.25.25019
[11] G. Weiss, Commutators and operator ideals, Ph.D. Thesis, 1975.
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