THREE FORMS OF THE PUTNAM-FUGLEDE THEOREM ARE EQUIVALENT;
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摘要:
For bounded linear operators on a Hilbert space, we prove that the following three forms of the Putnam-Fuglede theorem are equivalent. Theorem PF. If M and N are normal operators and X is an operator, then MX=XN implies
机构:
Pontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, RJ, BrazilPontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, RJ, Brazil
Duggal, B. P.
Kubrusly, C. S.
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Pontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, RJ, BrazilPontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, RJ, Brazil