Geodesic
Non-Archimedean spectral theory
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 25 (1984), pp. 51-114.

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A spectral theory is constructed for a special class of operators in a Banach space over a non-Archimedean field. A spectral theorem is proved, and a functional calculus and perturbation theory are constructed. 
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     author = {M. M. Vishik},
     title = {Non-Archimedean spectral theory},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {51--114},
     publisher = {mathdoc},
     volume = {25},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1984_25_a1/}
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M. M. Vishik. Non-Archimedean spectral theory. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 25 (1984), pp. 51-114. http://geodesic.mathdoc.fr/item/INTD_1984_25_a1/