DUAL KOTHE-TOEPLITZ UNTUK RUANG BARISAN VEKTOR

Authors

  • Mizan Ahmad Universitas Nahdlatul Ulama Al Ghazali Cilacap

DOI:

https://doi.org/10.25077/jmua.12.4.293-298.2023

Keywords:

Ruang bernorma, barisan vektor, dual Kothe-Toeplitz

Abstract

In this paper, we discuss about some classes of vector sequence spaces
on w(R^n). We observe their completeness and the relationships between them. At the end of this paper, we construct the Kothe-Toeplitz dual of some vector sequence spaces.

Downloads

Download data is not yet available.

References

A. H. Ganie, S. A. Lone, dan A. Afroza, 2020, Generalised Difference Sequence Spaces of Non-absolute Type, EKSAKTA 11(02): 147-153.

Ahmad, M., 2022, Beberapa Kelas Barisan Selisih Diperumum Tipe Cesaro, JFMA 5(01): 23-34.

Ahmad, M. dan Aspriyani, R., 2022, Ruang Barisan Selisih Diperumum Tipe Cesaro pada Ruang Bernorma-n, JFMA 5(02): 21-34.

Dutta, H., 2013, Some Classes of Cesaro-Type Difference Sequence Over n-Normed Spaces, Advances in Difference Equations 1: 286.

Dutta, H., 2015, Kothe-Toeplitz Duals of Some n-Normed Valued Difference Sequence Spaces, Maejo Int. J. Sci. Technol 9(02): 255-264.

Et, M., 1996-1997, On Some Generalized Cesaro Difference Sequence Spaces, Istanbul Univ. Fen Fak. Mat. Dergrisi 55-56: 221-229.

Et, M. dan Colak, R., 1995, On Some Generalized Difference Sequence Spaces, Soochow J. Math. 21: 377-386.

Gahler, S., 1964, Lineare 2-Normierte Raume, Math. Nachr. 28: 1-43.

Gahler, S., 1969, Untersuchungen Uber Verallgemeinerte m-Metrische Raume. I, Math. Nachr. 40: 165-189.

Garling, D.J. H., 1967, The Beta- and Gamma-duality of Sequence Spaces, Proc. Camb. Phil. Soc. 63: 963.

Gozali, S.H., Gunawan, H., dan Neswan, O.,2000, On n-Norms, and Bounded n-Linear Functionals in a Hilbert Space, Mathematics Subject Classication 5: 47-54.

Gunawan, H., 2000, On n-Inner Product, n-Norms, and The Cauchy-Schwarz Inequality, Scientiae Mathematicae Japanicae Online 5 (2000), 47-54.

Gunawan, H. dan Mashadi, M., 2001, On n-Normed Spaces, Int. J. Math. Sci. 27: 631-639.

Kizmaz, H., 1981, On Certain Sequence Spaces, Soochow J. Math. 24: 169-176.

Misiak, A., 1989, n-Inner Product Spaces, Math. Nachr. 140: 299-319.

Ng, PN. and Lee, P.Y., 1978, Cesaro Sequence Spaces of Non-Absolute Type, Comment. Math. 20: 429-433.

Orhan, C., 1983, Cesaro Difference Sequence Spaces and Related Matrix Transformations, Commun. Fac. Sci.Univ. Ankara, Ser. A. 32: 55-63.

Shiue, J.S., 1970: On The Cesaro Sequence Spaces, Thamkang J. Math. 1: 19-25.

Downloads

Published

21-10-2023

How to Cite

Ahmad, M. (2023). DUAL KOTHE-TOEPLITZ UNTUK RUANG BARISAN VEKTOR. Jurnal Matematika UNAND, 12(4), 293–298. https://doi.org/10.25077/jmua.12.4.293-298.2023

Issue

Vol. 12 No. 4 (2023)

Section

Articles

License

All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.

Copyright Holder

The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.

Author Rights

Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:

  • Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.

  • Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.

  • Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.

Creative Commons License (CC BY-SA 4.0)

Under the CC BY-SA 4.0 license, users are free to:

  • Share: Copy and redistribute the material in any medium or format.

  • Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.

These permissions are subject to the following conditions:

  • Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.

  • ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.

  • No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.

For more information about the CC BY-SA 4.0 license, please visit:

https://creativecommons.org/licenses/by-sa/4.0/

Third-Party Content

Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.

Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.

Copyright and Licensing Information

Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.