Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 48 Sayı: 3, 753 - 758, 15.06.2019

Öz

Kaynakça

  • 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

Yıl 2019, Cilt: 48 Sayı: 3, 753 - 758, 15.06.2019

Öz

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.

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Somayyeh Jafarizad Bu kişi benim 0000-0002-2539-198X

Asghar Ranjbari 0000-0003-0789-4812

Yayımlanma Tarihi 15 Haziran 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 48 Sayı: 3

Kaynak Göster

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. Haziran 2019;48(3):753-758.
Chicago Jafarizad, Somayyeh, ve Asghar Ranjbari. “Dual Neighborhood Systems and Polars in Locally Convex Cones”. Hacettepe Journal of Mathematics and Statistics 48, sy. 3 (Haziran 2019): 753-58.
EndNote Jafarizad S, Ranjbari A (01 Haziran 2019) Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics 48 3 753–758.
IEEE S. Jafarizad ve A. Ranjbari, “Dual neighborhood systems and polars in locally convex cones”, Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 3, ss. 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 (Haziran 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 ve Asghar Ranjbari. “Dual Neighborhood Systems and Polars in Locally Convex Cones”. Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 3, 2019, ss. 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.