Order Bornological Locally Convex Lattice Cones

For citation: Ayaseh D., Ranjbari A. Order Bornological Locally Convex Lattice Cones // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 19, no. 1, pp. 21-30. DOI 10.23671/VNC.2017.3.7109

1. Aliprantis C. D., Burkinshaw O. Positive Operators. N.Y.: Acad.
Press, 1985. xvi+367 p.

2. Ayaseh D., Ranjbari A. Bornological convergence in locally convex
cones. Mediterr. J. Math., 2016, vol. 13(4), pp. 1921-1931.

3.Ayaseh D., Ranjbari A. Bornological locally convex  cones. Le
Matematiche, 2014, vol. 69(2), pp. 267-284.

4. Ayaseh D., Ranjbari A. Locally convex quotient lattice cones.
Math. Nachr., 2014, vol. 287(10), pp. 1083-1092.

5. Keimel K., Roth W. Ordered Cones and Approximation.
Heidelberg-Berlin-N.Y.: Springer Verlag, 1992. (Lecture Notes in
Math.; vol. 1517).

6. Ranjbari A. Strict inductive limits in locally convex cones.
Positivity, 2011, vol. 15(3), pp. 465-471.

7. Ranjbari A.,  Saiflu H. Projective and inductive limits in
locally convex cones. J. Math. Anal. Appl., 2007, vol. 332, pp.
1097-1108.

8. Robertson A. P.,  Robertson W. Topological Vector Spaces.
Cambridge: Cambridge Univ. Press, 1964. viii+158 p. (Cambridge Tracts
in Math.; vol. 53).

9. Roth W. Locally convex quotient cones. J. Convex Anal., 2011,
vol. 18,  no. 4, pp. 903-913.

10. Roth W. locally convex lattice cones. J. Convex Anal., 2009,
vol. 16, no. 1, pp. 1-8.

11. Roth W. Operator-Valued Measures and Integrals for Cone-Valued
Functions. Heidelberg-Berlin-N.Y.: Springer Verlag, 2009. (Lecture
Notes in Math.; vol. 1964).