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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 247, Pages 114–145 (Mi znsl566)  
Test closure operations in a Banach space that are generated by linear functionals

L. G. Labsker

Finance Academy under the Government of the Russian Federation
Full-text PDF (314 kB)
Abstract: Some criteria are proved for an element of a Banach space to belong to a certain test or Korovkin closure of a given set. The operations of closure in question are determined by linear functionals. The cases of arbitrary linear functionals and of positive functionals are considered. Some sufficient conditions are given for a test closure to coincide with a Korovkin closure.
Received: 15.01.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 3, Pages 3115–3132
DOI: https://doi.org/10.1007/BF02673736
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. G. Labsker, “Test closure operations in a Banach space that are generated by linear functionals”, Investigations on linear operators and function theory. Part 25, Zap. Nauchn. Sem. POMI, 247, POMI, St. Petersburg, 1997, 114–145; J. Math. Sci. (New York), 101:3 (2000), 3115–3132
Citation in format AMSBIB
\Bibitem{Lab97}
\by L.~G.~Labsker
\paper Test closure operations in a~Banach space that are generated by linear functionals
\inbook Investigations on linear operators and function theory. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 247
\pages 114--145
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl566}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692624}
\zmath{https://zbmath.org/?q=an:0991.46015}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 3
\pages 3115--3132
\crossref{https://doi.org/10.1007/BF02673736}
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