ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 169-176
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In this paper we show that the normal parts of quasisimilar log-hyponormal operators are unitarily equivalent. A Fuglede-Putnam type theorem for log-hyponormal operators is proved. Also, it is shown that a log-hyponormal operator that is quasisimilar to an isometry is unitary and that a log-hyponormal spectral operator is normal.
JEON, I. H.; TANAHASHI, K.; UCHIYAMA, A. ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 169-176. doi: 10.1017/S0017089503001642
@article{10_1017_S0017089503001642,
author = {JEON, I. H. and TANAHASHI, K. and UCHIYAMA, A.},
title = {ON {QUASISIMILARITY} {FOR} {LOG-HYPONORMAL} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {169--176},
year = {2004},
volume = {46},
number = {1},
doi = {10.1017/S0017089503001642},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001642/}
}
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%0 Journal Article %A JEON, I. H. %A TANAHASHI, K. %A UCHIYAMA, A. %T ON QUASISIMILARITY FOR LOG-HYPONORMAL OPERATORS %J Glasgow mathematical journal %D 2004 %P 169-176 %V 46 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089503001642/ %R 10.1017/S0017089503001642 %F 10_1017_S0017089503001642
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