JOINT WEAK SUBNORMALITY OF OPERATORS

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Published: May 15, 2008
DOI: https://doi.org/10.14403/jcms.2008.21.2.287
Keywords:
jointly hyponormal pairs, subnormal pairs, weak subnormal pair, flatness
Mathematics Subject Classification (2020):
Primary 47B20, 47B37, 47A13, 28A50, Secondary 44A60, 47-04, 47A20

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Jun Ik Lee
Department of Mathematics Education, Sangmyung University
Sang Hoon Lee
Department of Mathematics, Chungnam National University

Abstract





We introduce jointly weak subnormal operators. It is shown that if T = (T1, T2) is subnormal then T is weakly subnormal and if f T = (T1, T2) is weakly subnormal then T is hyponormal. We discuss the flatness of weak subnormal operators.





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Article Details

Issue
Vol. 21 No. 2 (2008)
Section
Articles