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Algebra i Analiz, 1996, Volume 8, Issue 4, Pages 43–62 (Mi aa728)  

This article is cited in 19 scientific papers (total in 19 papers)

Research Papers

The Daugavet property for narrow operators in rich subspaces of the spaces C[0,1] and L1[0,1]

V. M. Kadets, M. M. Popov

Kharkiv State University, Faculty of Mathematics and Mechanical Engineering
Received: 30.10.1995
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Kadets, M. M. Popov, “The Daugavet property for narrow operators in rich subspaces of the spaces C[0,1] and L1[0,1]”, Algebra i Analiz, 8:4 (1996), 43–62; St. Petersburg Math. J., 8:4 (1997), 571–584
Citation in format AMSBIB
\Bibitem{KadPop96}
\by V.~M.~Kadets, M.~M.~Popov
\paper The Daugavet property for narrow operators in rich subspaces of the spaces $C[0,1]$ and $L_1[0,1]$
\jour Algebra i Analiz
\yr 1996
\vol 8
\issue 4
\pages 43--62
\mathnet{http://mi.mathnet.ru/aa728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1418254}
\zmath{https://zbmath.org/?q=an:0881.47017}
\transl
\jour St. Petersburg Math. J.
\yr 1997
\vol 8
\issue 4
\pages 571--584
Linking options:
  • https://www.mathnet.ru/eng/aa728
  • https://www.mathnet.ru/eng/aa/v8/i4/p43
  • This publication is cited in the following 19 articles:
    1. Kadets V., Martin M., Meri J., Perez A., “Spear Operators Between Banach Spaces Preface”: Kadets, V Martin, M Meri, J Perez, A, Spear Operators Between Banach Spaces, Lect. Notes Math., Lecture Notes in Mathematics, 2205, Springer International Publishing Ag, 2018, IX+  mathscinet  isi
    2. Luecking S., “The Daugavet Property and Translation-Invariant Subspaces”, Studia Math., 221:3 (2014), 269–291  crossref  mathscinet  zmath  isi  scopus  scopus
    3. Pliev M., “Narrow operators on lattice-formed spaces”, Cent Eur J Math, 9:6 (2011), 1276–1287  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    4. Krasikova, I, “On order structure and operators in L (a)(mu)”, Central European Journal of Mathematics, 7:4 (2009), 683  crossref  mathscinet  zmath  isi  scopus  scopus
    5. Kadets, V, “Lushness, numerical index one and duality”, Journal of Mathematical Analysis and Applications, 357:1 (2009), 15  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Kadets V., Martin M., Meri J., Paya R., “Convexity and Smoothness of Banach Spaces with Numerical Index One”, Illinois Journal of Mathematics, 53:1 (2009), 163–182  mathscinet  zmath  isi
    7. Martin, M, “The group of isometries of a Banach space and duality”, Journal of Functional Analysis, 255:10 (2008), 2966  crossref  mathscinet  zmath  isi  scopus  scopus
    8. Popov, MM, “An exact Daugavet type inequality for small into isomorphisms in L-1”, Archiv der Mathematik, 90:6 (2008), 537  crossref  mathscinet  zmath  isi  scopus  scopus
    9. Choi, YS, “The Daugavet equation for polynomials”, Studia Mathematica, 178:1 (2007), 63  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    10. Boyko, K, “Numerical index of Banach spaces and duality”, Mathematical Proceedings of the Cambridge Philosophical Society, 142 (2007), 93  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    11. K. Boyko, V. Kadets, D. Werner, “Narrow operators on Bochner $L_1$-spaces”, Zhurn. matem. fiz., anal., geom., 2:4 (2006), 358–371  mathnet  mathscinet  zmath
    12. Kadets, V, “Remarks on rich subspaces of Banach spaces”, Studia Mathematica, 159:2 (2003), 195  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Popov, MM, “A pseudo-Daugavet property for narrow projections in Lorentz spaces”, Illinois Journal of Mathematics, 46:4 (2002), 1313  mathscinet  zmath  isi
    14. Bilik, D, “Narrow operators on vector-valued sup-normed spaces”, Illinois Journal of Mathematics, 46:2 (2002), 421  mathscinet  zmath  isi
    15. Kadets, VM, “Narrow operators and rich subspaces of Banach spaces with the Daugavet property”, Studia Mathematica, 147:3 (2001), 269  crossref  mathscinet  zmath  isi  scopus  scopus
    16. Shvydkoy, RV, “Geometric aspects of the Daugavet property”, Journal of Functional Analysis, 176:2 (2000), 198  crossref  mathscinet  zmath  isi  scopus  scopus
    17. Kadets, VM, “Banach spaces with the Daugavet property”, Transactions of the American Mathematical Society, 352:2 (2000), 855  crossref  mathscinet  zmath  isi
    18. V. M. Kadets, “A Generalization of a Daugavet Theorem with Applications to the Space $C$ Geometry”, Funct. Anal. Appl., 31:3 (1997), 207–209  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. Kadets, VM, “Banach spaces with the Daugavet property”, Comptes Rendus de l Academie Des Sciences Serie i-Mathematique, 325:12 (1997), 1291  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
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