Research Article

Towards a Theory of Unbounded Locally Solid Riesz Spaces

Number: 28 May 7, 2019
EN

Towards a Theory of Unbounded Locally Solid Riesz Spaces

Abstract

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

Keywords

References

  1. 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]
  2. 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]
  3. L. Deng, M. O'Brein and V. G. Troitsky Unbounded norm convergence in Banach lattices, Ar-civum Mathmematicum (BRNO), 51 (2015), 107-128.
  4. D.H. Fremlin, Topological Riesz spaces and Measure theory, Cambridge univ. Press, London andNew York, 1974
  5. 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]
  6. N.Gao, F. Xanthos Unbounded order convergence and application to martingales without proba-bility,J. Math. Anal. Appl.415 (2014), 931-947.
  7. N.Gao, Unbounded order convergence in Dual spaces , J. Math. Anal. Appl.,419,347-354,2014
  8. L. Hong, Locally Solid Topological Lattice Ordered Groups, Arcivum Mathmematicum (BRNO),51 (2015), 107-128.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

May 7, 2019

Submission Date

March 21, 2019

Acceptance Date

May 30, 2019

Published in Issue

Year 2019 Number: 28

APA
Vural, M. (2019). Towards a Theory of Unbounded Locally Solid Riesz Spaces. Journal of New Theory, 28, 20-27. https://izlik.org/JA42WX76GW
AMA
1.Vural M. Towards a Theory of Unbounded Locally Solid Riesz Spaces. JNT. 2019;(28):20-27. https://izlik.org/JA42WX76GW
Chicago
Vural, Mehmet. 2019. “Towards a Theory of Unbounded Locally Solid Riesz Spaces”. Journal of New Theory, nos. 28: 20-27. https://izlik.org/JA42WX76GW.
EndNote
Vural M (May 1, 2019) Towards a Theory of Unbounded Locally Solid Riesz Spaces. Journal of New Theory 28 20–27.
IEEE
[1]M. Vural, “Towards a Theory of Unbounded Locally Solid Riesz Spaces”, JNT, no. 28, pp. 20–27, May 2019, [Online]. Available: https://izlik.org/JA42WX76GW
ISNAD
Vural, Mehmet. “Towards a Theory of Unbounded Locally Solid Riesz Spaces”. Journal of New Theory. 28 (May 1, 2019): 20-27. https://izlik.org/JA42WX76GW.
JAMA
1.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, no. 28, May 2019, pp. 20-27, https://izlik.org/JA42WX76GW.
Vancouver
1.Mehmet Vural. Towards a Theory of Unbounded Locally Solid Riesz Spaces. JNT [Internet]. 2019 May 1;(28):20-7. Available from: https://izlik.org/JA42WX76GW

 

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