Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl250
  • https://www.mathnet.ru/eng/znsl/v331/p60
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:363
    Full-text PDF :126
    References:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024