Research Article
BibTex RIS Cite
Year 2019, Volume: 48 Issue: 3, 753 - 758, 15.06.2019

Abstract

References

  • D. Ayaseh and A. Ranjbari, Bornological locally convex cones, Matematiche (Catania) 69 (2), 267-284, 2014.
  • D. Ayaseh and A. Ranjbari, Locally convex quotient lattice cones, Math. Nachr. 287 (10), 1083-1092, 2014.
  • D. Ayaseh and A. Ranjbari, Bornological Convergence in Locally Convex Cones, Mediterr. J. Math. 13 (4), 1921-1931, 2016.
  • K. Keimel and W. Roth, Ordered cones and approximation, Lecture Notes in Math- ematics 1517, Springer-Verlag, Berlin, 1992.
  • G.D. Plotkin, A Domain-Theoretic Banach-Alaoglu Theorem, Math. Struct. Com- pute. Sci. 16 (2), 299-313, 2006.
  • A. Ranjbari, Strict inductive limits in locally convex cones, Positivity 15 (3), 465-471, 2011.
  • A. Ranjbari and H. Saiflu, Projective and inductive limits in locally convex cones, J. Math. Anal. Appl. 332 (2), 1097–1108, 2007.
  • W. Roth, Hahn-Banach type theorems for locally convex cones, J. Austral. Math. Soc. Ser. A 68 (1), 104-125, 2000.
  • W. Roth, Operator-valued measures and integrals for cone-valued functions, Lecture Notes in Mathematics 1964, Springer-Verlag, Berlin, 2009.
  • W. Roth, Locally convex quotient cones, J. Convex Anal. 18 (4), 903-913, 2011.

Dual neighborhood systems and polars in locally convex cones

Year 2019, Volume: 48 Issue: 3, 753 - 758, 15.06.2019

Abstract

In this paper, we define dual (abstract) neighborhood systems for locally convex cones. Also we consider three types of different polars and study some relations of them with bounded sets in locally convex cones.

References

  • D. Ayaseh and A. Ranjbari, Bornological locally convex cones, Matematiche (Catania) 69 (2), 267-284, 2014.
  • D. Ayaseh and A. Ranjbari, Locally convex quotient lattice cones, Math. Nachr. 287 (10), 1083-1092, 2014.
  • D. Ayaseh and A. Ranjbari, Bornological Convergence in Locally Convex Cones, Mediterr. J. Math. 13 (4), 1921-1931, 2016.
  • K. Keimel and W. Roth, Ordered cones and approximation, Lecture Notes in Math- ematics 1517, Springer-Verlag, Berlin, 1992.
  • G.D. Plotkin, A Domain-Theoretic Banach-Alaoglu Theorem, Math. Struct. Com- pute. Sci. 16 (2), 299-313, 2006.
  • A. Ranjbari, Strict inductive limits in locally convex cones, Positivity 15 (3), 465-471, 2011.
  • A. Ranjbari and H. Saiflu, Projective and inductive limits in locally convex cones, J. Math. Anal. Appl. 332 (2), 1097–1108, 2007.
  • W. Roth, Hahn-Banach type theorems for locally convex cones, J. Austral. Math. Soc. Ser. A 68 (1), 104-125, 2000.
  • W. Roth, Operator-valued measures and integrals for cone-valued functions, Lecture Notes in Mathematics 1964, Springer-Verlag, Berlin, 2009.
  • W. Roth, Locally convex quotient cones, J. Convex Anal. 18 (4), 903-913, 2011.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Somayyeh Jafarizad This is me 0000-0002-2539-198X

Asghar Ranjbari 0000-0003-0789-4812

Publication Date June 15, 2019
Published in Issue Year 2019 Volume: 48 Issue: 3

Cite

APA Jafarizad, S., & Ranjbari, A. (2019). Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics, 48(3), 753-758.
AMA Jafarizad S, Ranjbari A. Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics. June 2019;48(3):753-758.
Chicago Jafarizad, Somayyeh, and Asghar Ranjbari. “Dual Neighborhood Systems and Polars in Locally Convex Cones”. Hacettepe Journal of Mathematics and Statistics 48, no. 3 (June 2019): 753-58.
EndNote Jafarizad S, Ranjbari A (June 1, 2019) Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics 48 3 753–758.
IEEE S. Jafarizad and A. Ranjbari, “Dual neighborhood systems and polars in locally convex cones”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, pp. 753–758, 2019.
ISNAD Jafarizad, Somayyeh - Ranjbari, Asghar. “Dual Neighborhood Systems and Polars in Locally Convex Cones”. Hacettepe Journal of Mathematics and Statistics 48/3 (June 2019), 753-758.
JAMA Jafarizad S, Ranjbari A. Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics. 2019;48:753–758.
MLA Jafarizad, Somayyeh and Asghar Ranjbari. “Dual Neighborhood Systems and Polars in Locally Convex Cones”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, 2019, pp. 753-8.
Vancouver Jafarizad S, Ranjbari A. Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics. 2019;48(3):753-8.