AN EXTENSION OF THE FUGLEDGE-UTNAM THEOREM TO w-HYPONORMAL PERATORS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2003, v.10 no.4, pp.273-277

Cha, Hyung Koo (Dept. of Mathematics, Hanyang Univ.)

Cha, Hyung Koo. (2003). AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO <TEX>$\omega$</TEX>-HYPONORMAL OPERATORS. 한국수학교육학회지시리즈B:순수및응용수학, 10(4), 273-277.

복사

Abstract

The Fuglede-Putnam Theorem is that if A and B are normal operators and X is an operator such that AX = XB, then <TEX>$A^{\ast}= X<T^{\ast}B^{\ast}$</TEX>. In this paper, we show that if A is <TEX>$\omega$</TEX>-hyponormal and <TEX>$B^{\ast}$</TEX> is invertible <TEX>$\omega$</TEX>-hyponormal such that AX = XB for a Hilbert-Schmidt operator X, then <TEX>$A^{\ast}X = XB^{\ast}$</TEX>.

keywords: w-hyponormal, Hilbert-Schmidt operator

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논문 상세

Vol.10 No.4

AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO <TEX>$\omega$</TEX>-HYPONORMAL OPERATORS

AN EXTENSION OF THE FUGLEDGE-UTNAM THEOREM TO w-HYPONORMAL PERATORS

Abstract

한국수학교육학회지시리즈B:순수및응용수학