Geodesic
On the spectra of prespectral operators
Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 57-61

Voir la notice de l'article provenant de la source Cambridge University Press

The spectrum of a prespectral operator was investigated by Dowson in [4]. The question was left open there whether, if a prespectral operator has closed range, the same is true for its scalar part. In this paper we answer this in the affirmative and point out some consequences concerning the essential spectra of prespectral operators. Also, following Taylor and Halberg [11], we present the state diagram of a prespectral operator, which will show, in a sense, the sharpness of the results of the spectral theory of such operators. 
Nagy, B. On the spectra of prespectral operators. Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 57-61. doi: 10.1017/S0017089500003372
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