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Jiang, Chunlan; Shi, Rui. On the Uniqueness of Jordan Canonical Form Decompositions of Operators by K-theoretical Data. Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 326-339. doi: 10.4153/CMB-2015-072-9
@article{10_4153_CMB_2015_072_9,
author = {Jiang, Chunlan and Shi, Rui},
title = {On the {Uniqueness} of {Jordan} {Canonical} {Form} {Decompositions} of {Operators} by {K-theoretical} {Data}},
journal = {Canadian mathematical bulletin},
pages = {326--339},
year = {2016},
volume = {59},
number = {2},
doi = {10.4153/CMB-2015-072-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-072-9/}
}
TY - JOUR AU - Jiang, Chunlan AU - Shi, Rui TI - On the Uniqueness of Jordan Canonical Form Decompositions of Operators by K-theoretical Data JO - Canadian mathematical bulletin PY - 2016 SP - 326 EP - 339 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-072-9/ DO - 10.4153/CMB-2015-072-9 ID - 10_4153_CMB_2015_072_9 ER -
%0 Journal Article %A Jiang, Chunlan %A Shi, Rui %T On the Uniqueness of Jordan Canonical Form Decompositions of Operators by K-theoretical Data %J Canadian mathematical bulletin %D 2016 %P 326-339 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-072-9/ %R 10.4153/CMB-2015-072-9 %F 10_4153_CMB_2015_072_9
[1] [1] Azoff, E. A., Borel measurability in linear algebra. Proc. Amer. Math. Soc. 42(1974), 346–350. Google Scholar | DOI
[2] [2] Azoff, E. A., Fong, C. K., and Gilfeather, F., A reduction theory for non-self-adjoint operator algebras. Trans. Amer. Math. Soc. 224(1976), no. 2, 351–366. Google Scholar | DOI
[3] [3] Blackadar, B., K-theoryfor operator algebras.Second éd.,Mathematical Sciences Research Institute Publications, 5, Cambridge University Press, Cambridge, 1998. Google Scholar
[4] [4] Conway, J. B., A course in functional analysis. Second éd.,Graduate Texts in Mathematics, 96, Springer-Verlag, New York, 1990. Google Scholar
[5] [5] Davidson, K. R.,C*-algebras by example. Fields Institute Monographs, 6, American Mathematical Society, Providence, RI, 1996. Google Scholar
[6] [6] Deckard, D. and Pearcy, C., On continuous matrix-valued functions on a Stonian space. Pacific J. Math. 14(1964), 857–869. Google Scholar | DOI
[7] [7] Dowson, H. R., Spectral theory of linear operators.London Mathematical Society Monographs, 12, Academic Press, Inc., London-New York, 1978. Google Scholar
[8] [8] Gilfeather, F., Strong reducibility of operators. Indiana Univ. Math. J. 22(1972), 393–397. Google Scholar | DOI
[9] [9] Halmos, P., Irreducible operators.Michigan Math. J. 15(1968), 215–223. Google Scholar | DOI
[10] [10] Jiang, C. and Shi, R., Direct integrals of strongly irreducible operators.J. Ramanujan Math. Soc. 26(2011), no.,2 165–180. Google Scholar
[11] [11] Jiang, C. and Wang, Z., Structure ofHilbert space operators. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2006. Google Scholar
[12] [12] Radjavi, H. and Rosenthal, P., Invariant subspaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, 77, Springer-Verlag, New York-Heidelberg, 1973. Google Scholar
[13] [13] Rordam, M., E Larsen, and Laustsen, N., An introduction to K-theoryfor C*-algebras. London Mathematical Society Student Texts, 49, Cambridge University Press, Cambridge, 2000. Google Scholar
[14] [14] Schwartz, J. T., W*-algebras. Gordon and Breach, New York, 1967. Google Scholar
[15] [15] Shi, R., On a generalization of the Jordan canonical form theorem on separable Hilbert spaces. Proc. Amer. Math. Soc. 140(2012), 1593–1604. Google Scholar | DOI
[16] [16] Hou, Y. and Ji, K., On the extended holomorphic curves on C*-algebras. Oper. Matrices 8(2014), 999–1011. Google Scholar | DOI
[17] [17] Ji, K., On a generalization ofBi(Cl) on C*-algebras. Proc. Indian Acad. Sci. Math. Sci. 124(2014), 243–253. Google Scholar | DOI
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