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Fuglede-Putnam theorem for $p$-hyponormal or class ${\mathcal Y}$

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Abstract

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.

참고문헌 (16)

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