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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 331, Pages 60–83 (Mi znsl250)  
This article is cited in 5 scientific papers (total in 5 papers)

Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach

G. L. Litvinov, G. B. Shpiz

Independent University of Moscow
Full-text PDF (291 kB) Citations (5)
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Abstract: In the framework of idempotent mathematics, some analogs for the well-known kernel theorems of L. Schwartz and A. Grothendieck are examined. Idempotent versions of nuclear spaces (in the sense of A. Grothendieck) are described. An algebraic approach is used, so topological concepts and results are simulated by means of algebraic tools.
Received: 12.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 4, Pages 1417–1428
DOI: https://doi.org/10.1007/s10958-007-0049-x
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. L. Litvinov, G. B. Shpiz, “Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIV, Zap. Nauchn. Sem. POMI, 331, POMI, St. Petersburg, 2006, 60–83; J. Math. Sci. (N. Y.), 141:4 (2007), 1417–1428
Citation in format AMSBIB
\Bibitem{LitShp06}
\by G.~L.~Litvinov, G.~B.~Shpiz
\paper Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XIV
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 331
\pages 60--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl250}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2251342}
\zmath{https://zbmath.org/?q=an:1112.46005}
\elib{https://elibrary.ru/item.asp?id=9172486}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 4
\pages 1417--1428
\crossref{https://doi.org/10.1007/s10958-007-0049-x}
\elib{https://elibrary.ru/item.asp?id=13548356}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846799325}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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