Abstract
In terms of the exactly nonzero partition, the reducible projection-system and correlation matrices, two characterizations for a rank three operator in a CSL algebra can be completely decomposed are given.
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References
Davidson, K.R., Nest algebras, Pitman Research Notes in Mathematics 191, Longman, London, New York, 1988.
Erdos, J.A., Operator of finite rank in nest algebras, J. London Math. Soc., 1968, 43:391–397.
Hopenwasser A., Moore, R., Finite rank operators in reflexive algebras, J. London Math. Soc., 1983, 27(2):339–344.
Lambrou, M.S., Approximants, commutants and double commutants in normaled algebras, J. London Math. Soc., 1982, 25(2): 499–512.
Longstaff, W.E., Strongly reflexive lattices, J. London Math. Soc., 1975, 11(2): 491–498.
Lu Shijie, Chen Xiangyang, On finite rank operators in CSL algebras, Chinese Ann Math. Ser. A, 1996, 17(2):233–239.
Lu Shijie, On finite rank operators in CSL algebras II, Acta Math. Sinica, New Series, 1997, 13(3):321–326.
Ringrose, J.R., On some algebras of operators, Proc. London Math. Soc., 1965, 77:61–83.
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Chen, P., Lu, S. & Tao, C. On finite rank operators in CSL algebras III. Appl. Math. Chin. Univ. 17, 301–306 (2002). https://doi.org/10.1007/s11766-002-0008-8
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DOI: https://doi.org/10.1007/s11766-002-0008-8