Papers

Submitted:

Papers in refereed journals:

  1. H.Jardón-Sánchez, N.J.Laustsen, M.A.Taylor, P.Tradacete, and V.G. Troitsky, Free Banach lattices under convexity conditions. Revista R. Acad. Cienc. Exactas (RASCAM), to appear. arXiv.
  2. M.A.Taylor and V.G.Troitsky, Bibasic sequences in Banach lattices. J. of Functional Analysis, 278(10), 2020, 108448. doi, PDF, arXiv.
  3. 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.
  4. V.G.Troitsky, Simple constructions of FBL(A) and FBL[E]. Positivity, 23(5), 2019, 1173-1178. doi, PDF, arXiv, readcube.
  5. V.G. Troitsky, M.S. Türer, Krivine's Function Calculus and Bochner integration, Canadian Math. Bull., 62(3), 2019, 663-669. doi, PDF, arXiv.
  6. M. Kandić, H. Li, and V.G. Troitsky, Unbounded norm topology beyond normed lattices, Positivity, 22(3), 2018, 745-760. doi, PDF, arXiv, readcube.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. S. Adeeb and V.G. Troitsky, Locally piecewise affine functions and their order structure, Positivity, 21(1), 2017, 213-221. arXiv, doi, readcube.
  12. F. Xanthos and V.G. Troitsky, Spaces of regular abstract martingales, J. Math. Analysis and Appl., 434(2), 2016, 1753-1761. arXiv, doi.
  13. 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.
  14. O. Zabeti and V.G. Troitsky, Fremlin tensor products of concavifications of Banach lattices, Positivity, 18(1), 2014, 191-200. PDF, arXiv, doi.
  15. 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.
  16. 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.
  17. V.G. Troitsky, A remark on invariant subspaces of positive operators. Proceedings of the Amer. Math. Soc., 141, 2013, 4345-4348. PDF, doi.
  18. 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.
  19. 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.
  20. H.E. Gessesse and V.G. Troitsky, Martingales in Banach lattices, II, Positivity, 15(1), 2011, 49-55. PDF, doi.
  21. V.G. Troitsky, When are the nonstandard hulls of normed lattices discrete or continuous? Vladikavkaz Math. J., 11(2), 2009, 43-45. PDF.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. 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
  31. 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.
  32. H. Radjavi and V.G. Troitsky, Invariant sublattices, Illinois J. Math., 52(2), 2008, 437-462. PDF.
  33. H. Radjavi and V.G. Troitsky, Semitransitive spaces of operators, Linear and Multilinear Algebra, 57(1), Jan 2009, 1-11. PDF.
  34. 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.
  35. 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.
  36. R. Anisca and V.G. Troitsky, Minimal vectors for positive operators, Indiana University Math. J., 54(3), 2005, 861-872. PDF.
  37. V.G. Troitsky, Martingales in Banach lattices, Positivity, 9(3), 2005, 437-456. PDF.
  38. H. Rosenthal and V.G. Troitsky, Strictly semi-transitive operator algebras, J. of Operator Theory, 53(2), 2005, 315-329. PDF.
  39. T. Oikhberg and V.G. Troitsky, A theorem of Krein revisited, Rocky Mountain J. Math. 35(1), 2005, 195-210. PDF.
  40. V.G. Troitsky, On CD0(K)-spaces, Vladikavkaz Math. J., 6(1), 2004, 71-73. PDF.
  41. V.G. Troitsky, Minimal vectors in arbitrary Banach spaces, Proceedings of the Amer. Math. Soc., 132, 2004, 1177-1180. More info, PDF.
  42. V.G. Troitsky, Measures of non-compactness of operators on Banach lattices, Positivity, 8(2), 2004, 165-178. PDF.
  43. 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.
  44. 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.
  45. V.G. Troitsky, Spectral radii of bounded operators on topological vector spaces, PanAmerican Math. J. 11(3), 2001, 1-35. PDF.
  46. 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.
  47. V.G. Troitsky, Infinitely fine partitions of measure spaces, Vladikavkaz Math. J., 1(3), 1999, 53-59. More info, PDF.
  48. V.G. Troitsky, On the modulus of C.J. Read's operator, Positivity, 2(3), 1998, 257-264. More info, PDF.
  49. V.G. Troitsky, Real partitions of measure spaces, Siberian Math. J., 35(1), 1994, 189-191. More info, download.
  50. 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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