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

Cha, Hyung Koo; Cha, Hyung Koo

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P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.10 No.4

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AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO $\omega$-HYPONORMAL OPERATORS

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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, 10(4), 273-277.

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Abstract

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

keywords: w-hyponormal, Hilbert-Schmidt operator

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논문 상세

Vol.10 No.4

AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO $\omega$-HYPONORMAL OPERATORS

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학