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Approximatively Compact Sets in Asymmetric Efimov–Stechkin Spaces and Convexity of Almost Suns

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Notes

  1. Any countable union of nowhere dense subsets is called a set of first category or a meager set. Any set not of the first category is called a set of second category.

References

  1. V. Donjuán and N. Jonard-Pérez, Quaest. Math. 43, 467 (2020).

    Article  MathSciNet  Google Scholar 

  2. A. R. Alimov, Russian Math. Surveys 58 (2), 367 (2003).

    Article  MathSciNet  Google Scholar 

  3. Ş. Cobzaş, Functional Analysis in Asymmetric Normed Spaces (Birkhäuser, Basel, 2013).

    Book  Google Scholar 

  4. I. G. Tsar’kov, Sb. Math. 210 (9), 1326 (2019).

    Article  MathSciNet  Google Scholar 

  5. S. V. Konyagin and I. G. Tsar’kov, Moscow Univ. Math. Bull. 41 (5), 20 (1986).

    Google Scholar 

  6. S. Cobzaş, Abstr. Appl. Anal. 2005 (3), 259 (2005).

    Article  Google Scholar 

  7. K.-S. Lau, Indiana Univ. Math. J. 27 (5), 791 (1978).

    Article  MathSciNet  Google Scholar 

  8. S. V. Konyagin, Sov. Math. Dokl. 21, 418 (1980).

    Google Scholar 

  9. A. R. Alimov and I. G. Tsar’kov, Russian Math. Surveys 71 (1), 1 (2016).

    Article  MathSciNet  Google Scholar 

  10. V. A. Koshcheev, Math. Notes 17 (2), 114 (1975).

    Article  MathSciNet  Google Scholar 

  11. I. G. Tsar’kov, Math. Notes 40 (2), 597 (1986).

    Article  Google Scholar 

  12. T. Nath, J. Anal. 29 (1), 247 (2021).

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research under grant 19-01-00332-a.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. R. Alimov & I. G. Tsar’kov

  2. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    A. R. Alimov

  3. Moscow Center of Fundamental and Applied Mathematics, Moscow, 119991, Russia

    A. R. Alimov & I. G. Tsar’kov

Authors
  1. A. R. Alimov
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  2. I. G. Tsar’kov
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Corresponding author

Correspondence to A. R. Alimov.

Additional information

Translated from Matematicheskie Zametki, 2021, Vol. 110, pp. 916–921 https://doi.org/10.4213/mzm13334.

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Alimov, A.R., Tsar’kov, I.G. Approximatively Compact Sets in Asymmetric Efimov–Stechkin Spaces and Convexity of Almost Suns. Math Notes 110, 947–951 (2021). https://doi.org/10.1134/S0001434621110316

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  • DOI: https://doi.org/10.1134/S0001434621110316

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