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We say operatorsA;Bon Hilbert space satisfy Fuglede-Putnam theorem ifAX = XB for someX implies AX = XB.We show that if either (1)A is p-hyponormal and Bis a classYoperator or (2)A is a classY operator and Bis p-hyponormal,then A;B satisfy Fuglede-Putnam theorem.
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참고문헌 (15)
참고문헌 신청
/ 1950 / A commutativity theorem for normal operators 36 : 35 ~ 40
/ 1951 / On normal operators in Hilbert space 73 : 357 ~ 362
/ 1966 / and range inclusion of operatorson Hilbert space 17 : 413 ~ 415
/ 1967. / Commutation properties of Hilbert space operators and related topics Ergebnisse der Mathematik und ihrer Grenzgebiete
/ 1971 / Ranges of normal and subnormal operators 18 : 33 ~ 36
/ 1951 / On normal operators in Hilbert space 73 : 357 ~ 362
/ 1966 / and range inclusion of operatorson Hilbert space 17 : 413 ~ 415
/ 1967. / Commutation properties of Hilbert space operators and related topics Ergebnisse der Mathematik und ihrer Grenzgebiete
/ 1971 / Ranges of normal and subnormal operators 18 : 33 ~ 36
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