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Spectral pictures of $AB$ and $BA$

Author(s): Robin Harte; Young Ok Kim; Woo Young Lee
Journal: Proc. Amer. Math. Soc. 134 (2006), 105-110.
MSC (2000): Primary 47A10, 47A53, 47A66
Posted: August 11, 2005
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Abstract: The spectral pictures of products $AB$ and $BA$ of Banach space operators are compared; in particular when one of them is `of index zero'.

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Additional Information:

Robin Harte
Affiliation: School of Mathematics, Trinity College, Dublin, Ireland
Email: rharte@maths.tcd.ie

Young Ok Kim
Affiliation: Department of Mathematics, Seoul National University, Seoul 151-742, Korea
Email: yhkim@skku.ac.kr

Woo Young Lee
Affiliation: Department of Mathematics, Seoul National University, Seoul 151-742, Korea
Email: wylee@math.snu.ac.kr

DOI: 10.1090/S0002-9939-05-08015-9
PII: S 0002-9939(05)08015-9
Keywords: Spectral pictures, index zero, quasitriangular, essentially normal operators, compalent, generalized Aluthge transforms
Received by editor(s): November 7, 2003
Posted: August 11, 2005
Additional Notes: This work was supported by a grant (R14-2003-006-01000-0) from the Korea Science and Engineering Foundation, and by Enterprise Ireland Basic Research Grant SC/2002/0266
Communicated by: David R. Larson
Copyright of article: Copyright 2005, American Mathematical Society

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