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
1Fong Chekao,Jiang Chunlan Department of Mathematics and Statistics Carleton University Ottawa, Ontario, Canada Department of Mathematics Jilin University Jilin, 130023 China.Normal Operators Similar to Irreducible Operators[J].Acta Mathematica Sinica,English Series,1994,10(2):132-135. 被引量:1