Araştırma Makalesi
BibTex RIS Kaynak Göster

Towards a Theory of Unbounded Locally Solid Riesz Spaces

Yıl 2019, Sayı: 28, 20 - 27, 07.05.2019

Öz

We introduce the notion of unbounded locally solid Riesz spaces and we investigate its some fundamental properties.

Kaynakça

  • Y.A.Dabboorasad,E.Y.Emelyanov,M.A.A.Marabeh, Order convergence in in nite-dimensionalvector lattices is not topological, to appear. arXiv:1705.09883[math.FA]
  • Y.A.Dabboorasad,E.Y.Emelyanov,M.A.A.Marabeh, u -convergence in locally solid vector lat-tices, to appear. arXiv:1706.02006[math.FA]
  • L. Deng, M. O'Brein and V. G. Troitsky Unbounded norm convergence in Banach lattices, Ar-civum Mathmematicum (BRNO), 51 (2015), 107-128.
  • D.H. Fremlin, Topological Riesz spaces and Measure theory, Cambridge univ. Press, London andNew York, 1974
  • N. Gao, V. G. Troitsky,F.Xhantos uo-convergence and its applications to Cesaro means in Banachlattices, Israel J. Math., to appear. arXiiv:1509.07914[math.FA]
  • N.Gao, F. Xanthos Unbounded order convergence and application to martingales without proba-bility,J. Math. Anal. Appl.415 (2014), 931-947.
  • N.Gao, Unbounded order convergence in Dual spaces , J. Math. Anal. Appl.,419,347-354,2014
  • L. Hong, Locally Solid Topological Lattice Ordered Groups, Arcivum Mathmematicum (BRNO),51 (2015), 107-128.
  • M.Kandic, M. Marabeh V. G. Troitsky, Unbounded Norm Topology in Banach Lattices J. Math.Anal. Appl., 451 (2017, no.1, 259-279)
  • H. Nakano, Ergodic theorem in semiordered linear spaces, Ann. of. Math.(2), 49 (1948), 538-556.
  • M. A. Taylor, Unbounded topologies and uo-convergence in locally solid vector lattice,to appear.arXiv:1706.01575 [math.FA].
  • [12] V. G. Troitsky, Measures of non-compactness of operators on Banach lattices, Positivity. 8(2),2004, 165-178
  • A. W. Wickstead, Weak and unbounded order convergence in Banach lattices, J. Austral. Math.Soc. ser. A 24(3)(1977), 312-319.
  • O.Zabeti,Unbounded absolute weak convergence in Banach lattices, to appear.arXiv:1608.02151[math.FA]
Yıl 2019, Sayı: 28, 20 - 27, 07.05.2019

Öz

Kaynakça

  • Y.A.Dabboorasad,E.Y.Emelyanov,M.A.A.Marabeh, Order convergence in in nite-dimensionalvector lattices is not topological, to appear. arXiv:1705.09883[math.FA]
  • Y.A.Dabboorasad,E.Y.Emelyanov,M.A.A.Marabeh, u -convergence in locally solid vector lat-tices, to appear. arXiv:1706.02006[math.FA]
  • L. Deng, M. O'Brein and V. G. Troitsky Unbounded norm convergence in Banach lattices, Ar-civum Mathmematicum (BRNO), 51 (2015), 107-128.
  • D.H. Fremlin, Topological Riesz spaces and Measure theory, Cambridge univ. Press, London andNew York, 1974
  • N. Gao, V. G. Troitsky,F.Xhantos uo-convergence and its applications to Cesaro means in Banachlattices, Israel J. Math., to appear. arXiiv:1509.07914[math.FA]
  • N.Gao, F. Xanthos Unbounded order convergence and application to martingales without proba-bility,J. Math. Anal. Appl.415 (2014), 931-947.
  • N.Gao, Unbounded order convergence in Dual spaces , J. Math. Anal. Appl.,419,347-354,2014
  • L. Hong, Locally Solid Topological Lattice Ordered Groups, Arcivum Mathmematicum (BRNO),51 (2015), 107-128.
  • M.Kandic, M. Marabeh V. G. Troitsky, Unbounded Norm Topology in Banach Lattices J. Math.Anal. Appl., 451 (2017, no.1, 259-279)
  • H. Nakano, Ergodic theorem in semiordered linear spaces, Ann. of. Math.(2), 49 (1948), 538-556.
  • M. A. Taylor, Unbounded topologies and uo-convergence in locally solid vector lattice,to appear.arXiv:1706.01575 [math.FA].
  • [12] V. G. Troitsky, Measures of non-compactness of operators on Banach lattices, Positivity. 8(2),2004, 165-178
  • A. W. Wickstead, Weak and unbounded order convergence in Banach lattices, J. Austral. Math.Soc. ser. A 24(3)(1977), 312-319.
  • O.Zabeti,Unbounded absolute weak convergence in Banach lattices, to appear.arXiv:1608.02151[math.FA]
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Mehmet Vural

Yayımlanma Tarihi 7 Mayıs 2019
Gönderilme Tarihi 21 Mart 2019
Yayımlandığı Sayı Yıl 2019 Sayı: 28

Kaynak Göster

APA Vural, M. (2019). Towards a Theory of Unbounded Locally Solid Riesz Spaces. Journal of New Theory(28), 20-27.
AMA Vural M. Towards a Theory of Unbounded Locally Solid Riesz Spaces. JNT. Mayıs 2019;(28):20-27.
Chicago Vural, Mehmet. “Towards a Theory of Unbounded Locally Solid Riesz Spaces”. Journal of New Theory, sy. 28 (Mayıs 2019): 20-27.
EndNote Vural M (01 Mayıs 2019) Towards a Theory of Unbounded Locally Solid Riesz Spaces. Journal of New Theory 28 20–27.
IEEE M. Vural, “Towards a Theory of Unbounded Locally Solid Riesz Spaces”, JNT, sy. 28, ss. 20–27, Mayıs 2019.
ISNAD Vural, Mehmet. “Towards a Theory of Unbounded Locally Solid Riesz Spaces”. Journal of New Theory 28 (Mayıs 2019), 20-27.
JAMA Vural M. Towards a Theory of Unbounded Locally Solid Riesz Spaces. JNT. 2019;:20–27.
MLA Vural, Mehmet. “Towards a Theory of Unbounded Locally Solid Riesz Spaces”. Journal of New Theory, sy. 28, 2019, ss. 20-27.
Vancouver Vural M. Towards a Theory of Unbounded Locally Solid Riesz Spaces. JNT. 2019(28):20-7.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).