Geodesic
Spectrum of a linear operator in a family of banach spaces containing Hilbert space
Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 495-498 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mutual relation is established between the spectra of a bounded linear operator acting in a family of Banach spaces. It is assumed in addition that one of the spaces is a Hilbert space and that the operator acting on it is self-adjoint. An example is presented illustrating the properties proved. 
@article{MZM_1977_22_4_a3,
     author = {V. V. Shevchik},
     title = {Spectrum of a~linear operator in a~family of banach spaces containing {Hilbert} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {495--498},
     year = {1977},
     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/}
}
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V. V. Shevchik. Spectrum of a linear operator in a family of banach spaces containing Hilbert space. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 495-498. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/