References

  1. Aliprantis C.D., Burkinshaw O. Positive operators. Springer, Dordrecht, 2006.
  2. Bessaga C., Pełczyński A., Rolewicz S. Some properties of the norm in F-spaces. Stud. Math. 1957, 16 (2), 183–192. doi:10.4064/sm-16-2-183-192
  3. Kalton N.J. The endomorphisms of \(L_p \, (0 \leq p \leq 1)\). Indiana Univ. Math. J. 1978, 27 (3), 353–381. doi:10.1512/iumj.1978.27.27027
  4. Kalton N.J., Peck N.T., Roberts J.W. \(L_0\)-valued vector measures are bounded. Proc. Amer. Math. J. 1982 85 (4), 575–582. doi:10.2307/2044069
  5. Kalton N.J., Roberts J.W. A rigid subspace of \(L_0\). Trans. Amer. Math. Soc. 1981, 266 (2), 645–654. doi:10.2307/1998446
  6. Mykhaylyuk V., Pliev M., Popov M. The lateral order on Riesz spaces and orthogonally additive operators. II. Positivity 2024, 28, article number 8. doi:10.1007/s11117-023-01025-0
  7. Mykhaylyuk V., Popov M. \(\varepsilon\)-Shading Operator on Riesz Spaces and Order Continuity of Orthogonally Additive Operators. Results in Math. 2022, 77, article number 209. doi:10.1007/s00025-022-01742-0
  8. Popov M. Banach lattices of orthogonally additive operators. J. Math. Anal. Appl. 2022, 514 (1), paper no. 126279. doi:10.1016/j.jmaa.2022.126279
  9. Rolewicz S. Metric linear spaces. PWN, Warszawa, 1985.