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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1984, Volume 25, Pages 51–114 (Mi intd75)  
This article is cited in 13 scientific papers (total in 13 papers)

Non-Archimedean spectral theory

M. M. Vishik
Full-text PDF (2646 kB) Citations (13)
Abstract: 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.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 6, Pages 2513–2555
DOI: https://doi.org/10.1007/BF02249122
Bibliographic databases:
UDC: 512.625.5
Language: Russian
Citation: M. M. Vishik, “Non-Archimedean spectral theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 25, VINITI, Moscow, 1984, 51–114; J. Soviet Math., 30:6 (1985), 2513–2555
Citation in format AMSBIB
\Bibitem{Vis84}
\by M.~M.~Vishik
\paper Non-Archimedean spectral theory
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1984
\vol 25
\pages 51--114
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=770941}
\zmath{https://zbmath.org/?q=an:0571.46052}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 6
\pages 2513--2555
\crossref{https://doi.org/10.1007/BF02249122}
Linking options:
  • https://www.mathnet.ru/eng/intd75
  • https://www.mathnet.ru/eng/intd/v25/p51
    • This publication is cited in the following 13 articles:
    1. J. Ettayb, “O $\lambda$-kommutirovanii, levom (pravom) psevdospektre i levom (pravom) uslovnom psevdospektre lineinykh nepreryvnykh operatorov na ultrametricheskikh banakhovykh prostranstvakh”, Vestnik rossiiskikh universitetov. Matematika, 29:148 (2024), 494–516  mathnet  crossref
    2. Jawad Ettayb, “A Hille-Yosida-Phillips Theorem for Discrete Semigroups on Complete Ultrametric Locally Convex Spaces”, P-Adic Num Ultrametr Anal Appl, 15:2 (2023), 113  crossref
    3. Cheuk-Yin Lee, Chi-Wai Leung, “Regularity of certain commutative Banach rings”, Journal of Mathematical Analysis and Applications, 517:1 (2023), 126589  crossref
    4. Tinhinane A. Azzouz, “Spectrum of a linear differential equation with constant coefficients”, Math. Z., 296:3-4 (2020), 1613  crossref
    5. Chi-Wai Leung, Chi-Keung Ng, “Berkovich spectra of elements in Banach rings”, Journal of Number Theory, 195 (2019), 184  crossref
    6. J. Aguayo, M. Nova, J. Ojeda, “Representation Theorems for Operators on Free Banach Spaces of Countable Type”, P-Adic Num Ultrametr Anal Appl, 11:1 (2019), 21  crossref
    7. Toka Diagana, François Ramaroson, SpringerBriefs in Mathematics, Non-Archimedean Operator Theory, 2016, 61  crossref
    8. Tomoki Mihara, “Spectral theory for p-adic operators”, Journal of Functional Analysis, 270:2 (2016), 748  crossref
    9. Toka Diagana, François Ramaroson, SpringerBriefs in Mathematics, Non-Archimedean Operator Theory, 2016, 85  crossref
    10. Marian Vâjâitu, “Integral Representations and the Behavior of Krasner Analytic Functions Around Singular Points”, Algebr Represent Theor, 16:6 (2013), 1611  crossref
    11. Zifeng Yang, “On the characteristic p valued measure associated to Drinfeld discriminant”, Journal of Number Theory, 132:10 (2012), 2184  crossref
    12. Anatoly N. Kochubei, “Non-Archimedean normal operators”, Journal of Mathematical Physics, 51:2 (2010)  crossref
    13. Zifeng Yang, “Cn-Functions over completions of Fr[T] at finite places of Fr(T)”, Journal of Number Theory, 108:2 (2004), 346  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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