The Journal of the Indian Mathematical Society

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On a Lemma of O'Raifeartaigh and Segal


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1 Institut de Mathematique Academie de la Republique Socialists de Roumanie, Bucarest, Romania
     

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The following lemma was proved by O'Raifeartaigh and Segal [2], [1].

Lemma. If T is a normal operator on a Hilbew space and if for some integer n, x is in the domain of Tn and Tnx = 0 then Tx = 0.


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  • On a Lemma of O'Raifeartaigh and Segal

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Authors

Vasile Istratescu
Institut de Mathematique Academie de la Republique Socialists de Roumanie, Bucarest, Romania

Abstract


The following lemma was proved by O'Raifeartaigh and Segal [2], [1].

Lemma. If T is a normal operator on a Hilbew space and if for some integer n, x is in the domain of Tn and Tnx = 0 then Tx = 0.