On multi-sequence space related to the p absolutely summable sequences

Autores/as

  • Amaresh Debnath
  • Binod Chandra Tripathy Tripura University (A Central University)
  • Runu Dhar Dr. Runu DharAssociate ProfessorDepartment of Applied MathematicsMaharaja Bir Bikram UniversityCollege Tilla, Agartala, Tripura, INDIAPIN-799004

DOI:

https://doi.org/10.5269/bspm.76457

Resumen

In this article we introduce the concept of multi-sequence spaces of real numbers related to p-absolutely summable spaces. We have investigated its different algebraic and topological properties. These includes the solidness, symmetry, convergence free etc. Some geometric properties of the space has also been investigated.

Biografía del autor/a

  • Amaresh Debnath

    Sri Amaresh Debnath is a research scholar of Department of Mathematics, MBB University, Agartala, India.

  • Binod Chandra Tripathy, Tripura University (A Central University)

    Professor Tripathy is a professor of Department of Mathematics, Tripura University (A Central University), India. Professor Tripathy is a renknowended professor of India. Professor Tripathy belongs to 2% scientists in the world.

  • Runu Dhar, Dr. Runu DharAssociate ProfessorDepartment of Applied MathematicsMaharaja Bir Bikram UniversityCollege Tilla, Agartala, Tripura, INDIAPIN-799004

    Associate Professor
    Department of Applied Mathematics

    Maharaja Bir Bikram University
    College Tilla, Agartala, Tripura, INDIA
    PIN-799004

Referencias

1. W.D. Blizard, Multiset theory. Notre Dame Journal of Formal Logic, 30(1), 36-66, (1989).
2. W.D. Blizard, Real-valued multisets and fuzzy sets. Fuzzy Sets and Systems, 33(1), 77-97, (1989).
3. W.D. Blizard, The development of multiset theory. Modern Logic,1(4), 319-352, (1991).
4. V. Cerf, E. Fernandez, K. Gostelow, S. Volausky, Formal control and low properties of a model computation. Report ENG 7178, Computer Science Department, University of California, Los Angeles, CA, p. 81, (1971).
5. H. Kizmaz, On certain sequence spaces. Canad. Math. Bull. 24(2), 169–176,(1981).
6. R. Roy, S. Das and S.K. Sumanta, On multi normed linear spaces. International Journal of Mathematics, Trends and Technology, 48(2), 111-119, (2017).
7. W.L.C. Sargent, Some sequence spaces related to the â„“p spaces. Journal of the London Mathematical Society, 35(2), 161-171, (1960).
8. B.C. Tripathy and M. Sen, On a new class of sequences related to the space â„“p. Tamkang Journal of Mathematics, 33(2), 167-172, (2002).
9. B. C. Tripathy and S. Mahanta, On a class of generalized lacunary difference sequence spaces defined by Orlicz function. Acta Math. Applicata Sinica (Eng. Ser.), 20(2), 231-238, (2004).
10. B.C. Triapthy and S. Mahanta, On a class of vector valued sequences associated with multiplier sequences. Acta Math. Applicata Sinica(Eng. Ser.); 20(3),487-494, (2004).

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Publicado

2025-07-12

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Research Articles