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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 277–291 (Mi znsl1337)  
This article is cited in 5 scientific papers (total in 5 papers)

Approximation properties $\mathrm{AP}_s$ and $p$-nuclear operators (the case where $0<s<1$)

O. I. Reinov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (235 kB) Citations (5)
Abstract: Among other things, it is shown that there exist Banach spaces $Z$ and $W$ such that $Z^{**}$ and $W$ have bases, and for every $p\in[1,2)$ there is an operator $T\colon W\to Z$ that is not $p$-nuclear but $T^{**}$ is $p$-nuclear.
Received: 12.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 2, Pages 2243–2250
DOI: https://doi.org/10.1023/A:1022897123389
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: O. I. Reinov, “Approximation properties $\mathrm{AP}_s$ and $p$-nuclear operators (the case where $0<s<1$)”, Investigations on linear operators and function theory. Part 28, Zap. Nauchn. Sem. POMI, 270, POMI, St. Petersburg, 2000, 277–291; J. Math. Sci. (N. Y.), 115:2 (2003), 2243–2250
Citation in format AMSBIB
\Bibitem{Rei00}
\by O.~I.~Reinov
\paper Approximation properties $\mathrm{AP}_s$ and $p$-nuclear operators (the case where $0<s<1$)
\inbook Investigations on linear operators and function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 270
\pages 277--291
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1795649}
\zmath{https://zbmath.org/?q=an:1058.46007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 2
\pages 2243--2250
\crossref{https://doi.org/10.1023/A:1022897123389}
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  • https://www.mathnet.ru/eng/znsl/v270/p277
    • 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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