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

Dr. Mamta Amol Wagh

Authors

Dr. Mamta Amol Wagh

köthe – toeplitz dual, generalized köthe – toeplitz dual, bicomplex köthe – toeplitz dual, difference sequence spaces, generalized difference

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.

Downloads

How to Cite

A Survey on Developments in Sequence Spaces and Introduction to Bicomplex Duals. (2016). Global Journal of Science Frontier Research, 16(F4), 35-47. https://www.journalofscience.org/index.php/GJSFR/article/view/102941

Download Citation

References

T Balasubramanian, A Pandiarani (2009) Duals of vector sequence spaces. 3(16), 779-785.

P Chandra, B Tripathy (2002) On Generalized Köthe -Toeplitz Duals Of Some Sequence Spaces. 33(8), 1301-1306.

D Garling (1967) The β- and γ-duality of sequence spaces. 63(4), 963-981.

D Garling (1966) On symmetric sequence spaces. 16(3), 85-106.

P Kamthan, M Gupta (1990) New from MARCEL DEKKER, Inc. 270 Madison Avenue, New York, N. Y. 10016. 32(1), 16-16.

H Kizmaz (1981) On certain Sequence Spaces. 24, 169-176.

G Köthe, O Toeplitz (1934) Lineare Raume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen. 171, 193-226.

G Lascarides, Constantine (1971) A Study of Certain sequence spaces of Maddox and A generalization of a theorem of Iyer. 38(2).

I Maddox (1980) Generalized Köthe -Toeplitz duals. 3(3), 423-432.

I Maddox (1991) Solidity in Sequence Spaces. 4(2), 185-192.

I Maddox (1968) Paranormed sequence spaces generated by infinite matrices. 64(2), 335-340.

I Maddox (1969) Continuous and Köthe -Toeplitz duals of certain sequence spaces. 65, 431-435.

I Maddox (1969) Some properties of paranormed sequence spaces. (2), 316-322.

I Maddox (1967) Spaces of strongly summable sequences. 2(18), 345-355.

G Price (1991) An Introduction to Multicomplex SPates and Functions.

A Robinson (1995) On Functional Transformations and Summability. s2-52(1), 132-160.

C Segre Le Rappresentazioni Reali Delle forme complesse e Gli Enti Iperalgebrici. 40, 413-467.

Rajiv Srivastava (2008) Certain topological aspects of Bicomplex space. 2(2), 222-234.

Rajiv Srivastava, Srivastava, K Naveen (2007) On a class of Entire Bicomple sequences. 5(3), 47-68.

Wagh Mamta, A (2014) On certain spaces of Bicomplex sequences. 7(1), 1-6.