1Department of Mathematics Hebei Normal University Shijiazhuang, Hebei, 050016, China 2Department of Mathematics The University of Alabama Tuscaloosa, AL 35487, U.S.A.
Studia Mathematica, Tome 236 (2017) no. 2, pp. 193-200
We prove that the quantity that appears in a recent similarity characterization for Cowen–Douglas operators is the trace of the curvature of the eigenvector bundle. This gives the first geometric interpretation of the similarity of operators.
Keywords:
prove quantity appears recent similarity characterization cowen douglas operators trace curvature eigenvector bundle gives first geometric interpretation similarity operators
Affiliations des auteurs :
Yingli Hou
1
;
Kui Ji
1
;
Hyun-Kyoung Kwon
2
1
Department of Mathematics Hebei Normal University Shijiazhuang, Hebei, 050016, China
2
Department of Mathematics The University of Alabama Tuscaloosa, AL 35487, U.S.A.
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Yingli Hou; Kui Ji; Hyun-Kyoung Kwon. The trace of the curvature determines similarity. Studia Mathematica, Tome 236 (2017) no. 2, pp. 193-200. doi: 10.4064/sm8588-9-2016
