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Xia Spectrum for Some Class of Operators
Authors:Muneo Chō  Tadasi Huruya  Kôtarô Tanahashi
Institution:(1) Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan;(2) Faculty of Education and Human Sciences, Niigata University, Niigata 950-2181, Japan;(3) Department of Mathematics, Tohoku College of Pharmacy, Sendai 981-8558, Japan
Abstract:In this paper, we introduce Xia spectra of n-tuples of operators satisfying |T 2| ≥ U|T 2|U* for the polar decomposition of TU|T| and we extend Putnam’s inequality to these tuples 7]. This research is partially supported by Grant-in-Aid Research No.17540176.
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)    Primary 47B20  Secondary 47A10
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