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矩阵代数的Kadison--Singer格的分类
Classification of Kadison-Singer Lattices in Matrix Algebras
Kadison--Singer格 / Kadison--Singer代数 / 矩阵代数 {{custom_keyword}} /
Kadison-Singer algebra / Kadison-Singer lattice / matrix algebra {{custom_keyword}} /
[1] Kadison R., Singer I., Triangular operator algebras, Fundamentals and hyper-reducible theory, Amer Journal of Math., 1960, 82: 227-259.
[2] Ge L., Yuan W., Kadison-Singer algebras, I: hyperfinite case, Proc. Natl. Acad. Sci. USA, 2010, 107(5): 1838-1843.
[3] Ge L., Yuan W., Kadison-Singer algebras, II: General case, Proc. Natl. Acad. Sci. USA, 2010, 107(11): 4840-4844.
[4] Davidson K. B., Nest Algebras, Longman Scientific & Technical, π Pitman Research Notes, New York: Mathematics Series, 1988, 191.
[5] Ringrose J., On some algebras of operators, II, Proc. London Math. Soc., 1966, 16(3): 385-402.
[6] Hou C. J., Cohomology of a class of Kadison-Singer algebras, Science China Series Mathematics, 2010, 53: 1827-1839.
[7] Hou C. J., Yuan W., Kadison-Singer lattices in finite von Neumann algebras, Preprint.
[8] Wang L. G., Yuan W., On a new class of Kadison-Singer algebras, Exposition. Math., doi:10.1016/j.exmath. 2010.08.001.
[9] Dong A. J., On triangular algebras with noncommutative diagonals, Science in China Series A: Mathematics, 2008, 51: 1937-1944.
[10] Kadison R., Ringrose J., Fundamentals of the Operator Algebras, vols. I and II, Orlando: Academic Press, 1983 and 1986.
[11] Halmos P., Reflexive lattices of subspaces, Journal of London Math. Society, 1971, 4: 257-263.
[12] Arveson W. B., Operator algebras and invariant subspaces, Ann. of Math., 1974, 100: 433-532.
国家自然科学基金资助项目(10971117);山东省自然科学基金(ZR2009AQ005)
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