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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 3

Dual neighborhood systems and polars in locally convex cones

Somayyeh Jafarizad0000-0002-2539-198X
Asghar Ranjbari0000-0003-0789-4812
Sayfa
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Yayın Tarihi
2019-06-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also we consider three types of different polars and study some relations of them with bounded sets in locally convex cones.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define dual (abstract) neighborhood systems for locally convex cones.
📊
Temel Bulgular & Veri:In this paper, we define dual (abstract) neighborhood systems for locally convex cones.
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Sonuç & Katkı:Also we consider three types of different polars and study some relations of them with bounded sets in locally convex cones.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:locally convex cones · polar · duality

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.

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Bu Makaleye Atıf Yap

Jafarizad, S., Ranjbari, A. (2019). Dual neighborhood systems and polars in locally convex cones. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 3. https://ajindex.com/articles/1402790

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Kaynakça (10)

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  3. D. Ayaseh and A. Ranjbari, Bornological Convergence in Locally Convex Cones, Mediterr. J. Math. 13 (4), 1921-1931, 2016.
  4. K. Keimel and W. Roth, Ordered cones and approximation, Lecture Notes in Math- ematics 1517, Springer-Verlag, Berlin, 1992.
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  6. A. Ranjbari, Strict inductive limits in locally convex cones, Positivity 15 (3), 465-471, 2011.
  7. A. Ranjbari and H. Saiflu, Projective and inductive limits in locally convex cones, J. Math. Anal. Appl. 332 (2), 1097–1108, 2007.
  8. W. Roth, Hahn-Banach type theorems for locally convex cones, J. Austral. Math. Soc. Ser. A 68 (1), 104-125, 2000.
  9. W. Roth, Operator-valued measures and integrals for cone-valued functions, Lecture Notes in Mathematics 1964, Springer-Verlag, Berlin, 2009.
  10. W. Roth, Locally convex quotient cones, J. Convex Anal. 18 (4), 903-913, 2011.