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
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In this paper, we develop a generalized Jordan canonical form theorem for a certain class of operators in $L\left( H \right)$ . A complete criterion for similarity for this class of operators in terms of $K$ -theory for Banach algebras is given.
Mots-clés :
47A15, 47C15, 47A65, strongly irreducible operator, similarity invariant, reduction theory of von Neumann algebras, K-theory
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
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