Papers

Papers in refereed journals:

  1. M.A.Taylor and V.G.Troitsky, Bibasic sequences in Banach lattices. J. of Functional Analysis, 278(10), 2020, 108448. doi, PDF, arXiv.
  2. N.J.Laustsen and V.G.Troitsky, Vector lattices admitting a positively homogeneous continuous function calculus. Quarterly J. Math., 71(1), 2020, 281-294. doi, journal, PDF, arXiv.
  3. V.G.Troitsky, Simple constructions of FBL(A) and FBL[E]. Positivity, 23(5), 2019, 1173-1178. doi, PDF, arXiv, readcube.
  4. V.G. Troitsky, M.S. Türer, Krivine's Function Calculus and Bochner integration, Canadian Math. Bull., 62(3), 2019, 663-669. doi, PDF, arXiv.
  5. M. Kandić, H. Li, and V.G. Troitsky, Unbounded norm topology beyond normed lattices, Positivity, 22(3), 2018, 745-760. doi, PDF, arXiv, readcube.
  6. M. Kandić, M.M.A. Marabeh, and V.G. Troitsky, Unbounded norm topology in Banach lattices, J. Math. Analysis and Appl., 451(1), 2017, 259-279. PDF, doi, arXiv.
  7. H.G. Dales, N.J. Laustsen, T. Oikhberg, and V.G. Troitsky, Multi-norms and Banach lattices, Dissertationes Mathematica, 524, 2017, 1-115. PDF, doi.
  8. Y. Deng, M. O'Brien, and V.G. Troitsky, Unbounded norm convergence in Banach lattices, Positivity, 21(3), 2017, pp 963-974. PDF, doi, readcube, arXiv.
  9. N. Gao, F. Xanthos, and V.G. Troitsky, Uo-convergence and its applications to Cesàro means in Banach lattices, Israel J. Math., 220, 2017, 649-689. PDF, arXiv, doi, readcube.
  10. S. Adeeb and V.G. Troitsky, Locally piecewise affine functions and their order structure, Positivity, 21(1), 2017, 213-221. arXiv, doi, readcube.
  11. F. Xanthos and V.G. Troitsky, Spaces of regular abstract martingales, J. Math. Analysis and Appl., 434(2), 2016, 1753-1761. arXiv, doi.
  12. J. Flores, F.L. Hernandez, E. Spinu, P. Tradacete, and V.G. Troitsky, Disjointly homogeneous Banach lattices: duality and complementation, J. of Functional Analysis, 266(9), 2014, 5858-5885. PDF, doi.
  13. O. Zabeti and V.G. Troitsky, Fremlin tensor products of concavifications of Banach lattices, Positivity, 18(1), 2014, 191-200. PDF, arXiv, doi.
  14. N. Gao and V.G. Troitsky, Irreducible semigroups of positive operators on Banach lattices, Linear and Multilinear Algebra, 62(1), 2014, 74-95. PDF, arXiv, doi.
  15. Q. Bu, G. Buskes, A.I. Popov, A.Tcaciuc, and V.G. Troitsky, The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square Positivity, 17(2), 2013, 283-298. PDF, doi.
  16. V.G. Troitsky, A remark on invariant subspaces of positive operators. Proceedings of the Amer. Math. Soc., 141, 2013, 4345-4348. PDF, doi.
  17. A. Kaminska, A.I. Popov, E. Spinu, A. Tcaciuc, and V.G. Troitsky, Norm closed operator ideals in Lorentz sequence spaces, J. Math. Analysis and Appl., 389(1), 2012, 247-260. PDF, arXiv, doi.
  18. V. Galvani and V.G. Troitsky, Options and Efficiency in Spaces of Bounded Claims, J. of Math. Economics, 46(4), 2010, 616-619. PDF, doi.
  19. H.E. Gessesse and V.G. Troitsky, Martingales in Banach lattices, II, Positivity, 15(1), 2011, 49-55. PDF, doi.
  20. V.G. Troitsky, When are the nonstandard hulls of normed lattices discrete or continuous? Vladikavkaz Math. J., 11(2), 2009, 43-45. PDF.
  21. H.E. Gessesse, A.I. Popov, H. Radjavi, E. Spinu, A.Tcaciuc, and V.G. Troitsky, Bounded indecomposable semigroups of non-negative matrices, Positivity, 14(3), 2010, 383-394 PDF, doi.
  22. G. Androulakis, A.I. Popov, A.Tcaciuc, and V.G. Troitsky, Almost invariant half-spaces of operators on Banach spaces, Integral Equations and Operator Theory, 65(4), 2009, 473-484. PDF, doi.
  23. J. Flores, P. Tradacete, and V.G. Troitsky, Disjointly homogeneous Banach lattices and compact products of operators, J. Math. Analysis and Appl., 354, 2009, 657-663. PDF, doi.
  24. A. Popov and V.G. Troitsky, A version of Lomonosov's theorem for collections of positive operators, Proceedings of the Amer. Math. Soc., 137, 2009, 1793-1800. PDF, doi.
  25. I. Chalendar, E. Fricain, A. Popov, D. Timotin, and V.G. Troitsky, Finitely strictly singular operators between James spaces, J. of Functional Analysis, 256(4), 2009, 1258-1268. PDF, doi. More info.
  26. J. Flores, P. Tradacete, and V.G. Troitsky, Invariant subspaces of positive strictly singular operators on Banach lattices, J. of Math. Analysis and Applications, 343, 2008, 743-751. PDF, doi.
  27. V.I. Lomonosov, H. Radjavi, and V.G. Troitsky, Sesquitransitive and localizing operator algebras, Integral Equations and Operator Theory, 60(3), 2008, 405-418. PDF, doi.
  28. H. Gessesse and V.G. Troitsky, Invariant subspaces of positive quasinilpotent operators on Banach spaces with generating closed cones, Positivity, 12(2), 2008, 193-208. PDF.
  29. G. Androulakis, P. Dodos, G. Sirotkin, and V.G. Troitsky, Classes of strictly singular operators and their products, Israel J. Math., 169(1), Jan 2009, 221-250. PDF, doi
  30. B. Sari, Th. Schlumprecht, N. Tomczak-Jaegermann, and V.G. Troitsky, On norm closed ideals in L(lp+lq), Studia Math., 179, 2007, 239-262. PDF.
  31. H. Radjavi and V.G. Troitsky, Invariant sublattices, Illinois J. Math., 52(2), 2008, 437-462. PDF.
  32. H. Radjavi and V.G. Troitsky, Semitransitive spaces of operators, Linear and Multilinear Algebra, 57(1), Jan 2009, 1-11. PDF.
  33. Yu.A. Abramovich, C.D. Aliprantis, G. Sirotkin, and V.G. Troitsky, Some open problems and conjectures associated with the Invariant Subspace Problem, Positivity, 9(3), 2005, pp 273-286. PDF.
  34. J. Bernik, L. Grunenfelder, M. Mastnak, H. Radjavi, and V.G. Troitsky, On semitransitive collections of operators, Semigroup Forum, 70(3), 2005, 436-450. PDF.
  35. R. Anisca and V.G. Troitsky, Minimal vectors for positive operators, Indiana University Math. J., 54(3), 2005, 861-872. PDF.
  36. V.G. Troitsky, Martingales in Banach lattices, Positivity, 9(3), 2005, 437-456. PDF.
  37. H. Rosenthal and V.G. Troitsky, Strictly semi-transitive operator algebras, J. of Operator Theory, 53(2), 2005, 315-329. PDF.
  38. T. Oikhberg and V.G. Troitsky, A theorem of Krein revisited, Rocky Mountain J. Math. 35(1), 2005, 195-210. PDF.
  39. V.G. Troitsky, On CD0(K)-spaces, Vladikavkaz Math. J., 6(1), 2004, 71-73. PDF.
  40. V.G. Troitsky, Minimal vectors in arbitrary Banach spaces, Proceedings of the Amer. Math. Soc., 132, 2004, 1177-1180. More info, PDF.
  41. V.G. Troitsky, Measures of non-compactness of operators on Banach lattices, Positivity, 8(2), 2004, 165-178. PDF.
  42. S.J. Dilworth and V.G. Troitsky, Spectrum of a weakly hypercyclic operator meets the unit circle, Trends in Banach Spaces and Operator Theory in Contemporary Mathematics, AMS, vol 321, 2003, 67-69. PDF.
  43. Th. Schlumprecht and V.G. Troitsky, On quasi-affine transforms of Read's operator, Proceedings of the Amer. Math. Soc. 131, 2003, 1405-1413. PDF.
  44. V.G. Troitsky, Spectral radii of bounded operators on topological vector spaces, PanAmerican Math. J. 11(3), 2001, 1-35. PDF.
  45. V.G. Troitsky, Lomonosov's theorem cannot be extended to chains of four operators, Proceedings of the Amer. Math. Soc., 128, 2000, 521-525. More info, PDF.
  46. V.G. Troitsky, Infinitely fine partitions of measure spaces, Vladikavkaz Math. J., 1(3), 1999, 53-59. More info, PDF.
  47. V.G. Troitsky, On the modulus of C.J. Read's operator, Positivity, 2(3), 1998, 257-264. More info, PDF.
  48. V.G. Troitsky, Real partitions of measure spaces, Siberian Math. J., 35(1), 1994, 189-191. More info, download.
  49. V.G. Troitsky, Nonstandard discretization and the Loeb extension of a family of measures, Siberian Math. J., 34(3), 1993, 566-573. More info, download.

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