References

  1. Aliprantis C.D., Burkinshaw O. Positive Operators. Springer, Dordrecht, 2006.
  2. Kadets V.M., Popov M.M. Some stability theorems about narrow operators on $L_1[0,1]$ and $C(K)$. Mat. Fiz. Anal. Geom. 2003, 10 (1), 49-60.
  3. Kadets V., Kalton N., Werner D. Unconditionally convergent series of operators and narrow operators on $L_1$. Bull. London Math. Soc. 2005, 37 (2), 265-274. doi: 10.1112/S0024609304003881
  4. Kusraev A.G., Pliev M.A. A weak integral representation of the dominated orthogonally additive operators. Vladikavkaz Math. J. 1999, 1 (4), 21-37.
  5. Mazón J.M., Segura de León S. Order bounded ortogonally additive operators. Rev. Roumane Math. Pures Appl. 1990, 35 (4), 329-353.
  6. Mazón J.M., Segura de León S. Uryson operators. Rev. Roumane Math. Pures Appl. 1990, 35 (5), 431-449.
  7. Maslyuchenko O.V., Mykhaylyuk V.V., Popov M.M. A lattice approach to narrow operators. Positivity 2009, 13 (3), 459-495. doi: 10.1007/s11117-008-2193-z
  8. Mykhaylyuk V.V., Popov M.M. On sums of narrow operators on Köthe function spaces. J. Math. Anal. Appl. 2013, 404 (2), 554-561. doi: 10.1016/j.jmaa.2013.03.008
  9. Mykhaylyuk V., Pliev M., Popov M. The lateral order on Riesz spaces and orthogonally additive operators. Submitted to Studia Math.
  10. Mykhaylyuk V., Pliev M., Popov M., Sobchuk O. Dividing measures and narrow operators. Studia Math. 2015, 231 (2), 97-116. doi: 10.4064/sm7878-2-2016
  11. Plichko A.M., Popov M.M. Symmetric function spaces on atomless probability spaces. In: Rozprawy Mat., 306. Inst. Matem. Polsk. Akad. Nauk, Warszawa, 1990.
  12. Pliev M., Popov M. Narrow orthogonally additive operators. Positivity 2014, 18 (4), 641-667. doi: 10.1007/s11117-013-0268-y
  13. Popov M.M. Narrow operators (a survey). In: Banach Center Publ., 92. Inst. Math. Polish Acad. Sci., 2011. 299-326. doi: 10.4064/bc92-0-21
  14. Popov M., Randrianantoanina B. Narrow Operators on Function Spaces and Vector Lattices. In: De Gruyter Studies in Mathematics, 45. De Gruyter, 2012.

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.