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

§ University of Delhi University of Delhi

Send Message

To: Author

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

Article Fingerprint

ReserarchID

S3R7O

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

Key Research Insights

Synthesized scholarly intelligence & interactive research assistant
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu
Reading Preferences
Font Size
Line Spacing
Background
This converted HTML version may contain rendering inconsistencies. Please refer to the PDF for the authoritative version, or click here to provide feedback.

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. 1. T Balasubramanian,A Pandiarani (2009). Duals of vector sequence spaces. Int. Journal of Math. Analysis, 3(16), 779-785.
  2. 2. P Chandra,B Tripathy (2002). On Generalized Köthe -Toeplitz Duals Of Some Sequence Spaces. Indian J. pure appl. Math, 33(8), 1301-1306.
  3. 3. D Garling (1967). The β- and γ-duality of sequence spaces. Mathematical Proceedings of the Cambridge Philosophical Society, 63(4), 963-981.
  4. 4. D Garling (1966). On symmetric sequence spaces. Proc. London Math. Soc, 16(3), 85-106.
  5. 5. P Kamthan,M Gupta (1990). New from MARCEL DEKKER, Inc. 270 Madison Avenue, New York, N. Y. 10016. Biometrical Journal, 32(1), 16-16.
  6. 6. H Kizmaz (1981). On certain Sequence Spaces. Canad. Math. Bull, 24, 169-176.
  7. 7. G Köthe,O Toeplitz (1934). Lineare Raume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen. Jour. Reine angew. Math, 171, 193-226.
  8. 8. G Lascarides,Constantine (1971). A Study of Certain sequence spaces of Maddox and A generalization of a theorem of Iyer. Pacific Journal of Mathematics, 38(2)
  9. 9. I Maddox (1980). Generalized Köthe -Toeplitz duals. International, J. Math. & Math. Sci, 3(3), 423-432.
  10. 10. I Maddox (1991). Solidity in Sequence Spaces. Revista Mathematica de la, Universidad Complutense de Madrid, 4(2), 185-192.
  11. 11. I Maddox (1968). Paranormed sequence spaces generated by infinite matrices. Mathematical Proceedings of the Cambridge Philosophical Society, 64(2), 335-340.
  12. 12. I Maddox (1969). Continuous and Köthe -Toeplitz duals of certain sequence spaces. Proc. Cambridge Philos. Soc, 65, 431-435.
  13. 13. I Maddox (1969). Some properties of paranormed sequence spaces. J. London Math. Soc, 316-322.
  14. 14. I Maddox (1967). Spaces of strongly summable sequences. Quaterly J. Math. Oxford, 2(18), 345-355.
  15. 15. G Price (1991). An Introduction to Multicomplex SPates and Functions. An Introduction to Multicomplex SPates and Functions
  16. 16. A Robinson (1995). On Functional Transformations and Summability. Proceedings of the London Mathematical Society, s2-52(1), 132-160.
  17. 17. C Segre Le Rappresentazioni Reali Delle forme complesse e Gli Enti Iperalgebrici. Math. Ann, 40, 413-467.
  18. 18. Rajiv Srivastava (2008). Certain topological aspects of Bicomplex space. Bull. Pure & Appl. Math, 2(2), 222-234.
  19. 19. Rajiv Srivastava,Srivastava,K Naveen (2007). On a class of Entire Bicomple sequences. South East Asian J. Math. & Math. Sc, 5(3), 47-68.
  20. 20. Wagh Mamta,A (2014). On certain spaces of Bicomplex sequences. Inter. J. Phy. Chem. and Math. fund.(IJPCMF), 7(1), 1-6.

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

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

Download Citation

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
English
Order Article Reprint
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 1.2K
Total Downloads: 66
All Trends

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

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

Dr. Wagh
Dr. Wagh University of Delhi