East Asian mathematical journal
- 제14권1호
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- Pages.21-26
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- 1998
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
AN EXTENSION OF THE FUGLEDE-PUTNAM THEOREM TO k-QUASIHYPONORMAL OPERATORS
- Shin, Kyo-Il (Department of mathematics Hanyang University) ;
- Cha, Hyung-Koo (Department of mathematics Hanyang University)
- 발행 : 1998.06.25
초록
The Fulgede-Putnam theorem asserts as if A and Bare normal operators and X is an operator such that AX=XB, then A*X=XB*. In this paper, we show that if A is k-quasihyponormal and B* is invertible k-quasihyponormal such that AX=XB for a Hilbert-Schmidt operator X, then A*X=XB*.