On a problem of Nieminen
Publications Mathématiques de l'IHÉS, Tome 16 (1963), pp. 31-33. 
@article{PMIHES_1963__16__31_0,
     author = {Donoghue, William F.},
     title = {On a problem of {Nieminen}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {31--33},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {16},
     year = {1963},
     mrnumber = {27 #2864},
     zbl = {0115.33504},
     language = {en},
     url = {http://www.numdam.org/item/PMIHES_1963__16__31_0/}
}
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Donoghue, William F. On a problem of Nieminen. Publications Mathématiques de l'IHÉS, Tome 16 (1963), pp. 31-33. http://www.numdam.org/item/PMIHES_1963__16__31_0/

[1] Donoghue (W. F.), On the numerical range of a bounded operator, Michigan Mathematical Journal, vol. 4 (1957), pp. 261-263. | MR | Zbl

[2] Nagy (B. V. Sz.), Spektraldarstellung linearer transformationen des Hilbertschen Raumes, Berlin, 1942. | JFM | Zbl

[3] Nieminen (T.), A condition for the self-adjointness of an operator, Annales Academiae Fennicae, 1962. | MR | Zbl

[4] Stone (M. H.), Linear Transformations in Hilbert Space, Amer. Math. Soc. Colloquium Publications, 15 (1932). | JFM | MR | Zbl