A Survey on Developments in Sequence Spaces and Introduction to Bicomplex Duals

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Mamta Amol Wagh
Mamta Amol Wagh
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Dr. Mamta Amol Wagh
Dr. Mamta Amol Wagh
α University of Delhi University of Delhi

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A Survey on Developments in Sequence Spaces and Introduction to Bicomplex Duals

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Abstract

A survey on recent developments in the duality theory of sequence spaces has been done and duality in some Bicomplex sequence spaces is introduced which gives rise to sixteen types of different duals.

References

20 Cites in Article
  1. T Balasubramanian,A Pandiarani (2009). Duals of vector sequence spaces.
  2. P Chandra,B Tripathy (2002). On Generalized Köthe -Toeplitz Duals Of Some Sequence Spaces.
  3. D Garling (1967). The β- and γ-duality of sequence spaces.
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  11. I Maddox (1968). Paranormed sequence spaces generated by infinite matrices.
  12. I Maddox (1969). Continuous and Köthe -Toeplitz duals of certain sequence spaces.
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  14. I Maddox (1967). Spaces of strongly summable sequences.
  15. G Price (1991). An Introduction to Multicomplex SPates and Functions.
  16. A Robinson (1995). On Functional Transformations and Summability.
  17. C Segre Le Rappresentazioni Reali Delle forme complesse e Gli Enti Iperalgebrici.
  18. Rajiv Srivastava (2008). Certain topological aspects of Bicomplex space.
  19. Rajiv Srivastava,Srivastava,K Naveen (2007). On a class of Entire Bicomple sequences.
  20. Wagh Mamta,A (2014). On certain spaces of Bicomplex sequences.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Mamta Amol Wagh. 2016. \u201cA Survey on Developments in Sequence Spaces and Introduction to Bicomplex Duals\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F4): .

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Issue Cover
GJSFR Volume 16 Issue F4
Pg. 35- 47
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 47B35
Version of record

v1.2

Issue date

July 5, 2016

Language
en
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A survey on recent developments in the duality theory of sequence spaces has been done and duality in some Bicomplex sequence spaces is introduced which gives rise to sixteen types of different duals.

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A Survey on Developments in Sequence Spaces and Introduction to Bicomplex Duals

Dr. Mamta Amol Wagh
Dr. Mamta Amol Wagh

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