On Certain Bicomplex Duals

Article ID

C4769

On Certain Bicomplex Duals

Mamta Amol Wagh
Mamta Amol Wagh Deen Dayal Upadhyaya College, University of Delhi
Sanjeev Kumar
Sanjeev Kumar P.E.C. University of Technology, Chandigarh.
DOI

Abstract

We investigated certain bicomplex duals of the class of bicomplex sequences defined by Srivastava & Srivastava [S2] and of the subclasses defined by Nigam [N1] and Wagh [W2]. Köthe & Toeplitz duals for bicomplex sequence spaces, defined and studied in [W3], have been extended further. Two types of duals namely αβ- dual and βα- dual have been defined and relations between these duals and the duals of classes defined by [S2] and subclasses defined by [W2] have been established. Relation between these duals and the i2 – conjugate of a bicomplex number is also studied.

On Certain Bicomplex Duals

We investigated certain bicomplex duals of the class of bicomplex sequences defined by Srivastava & Srivastava [S2] and of the subclasses defined by Nigam [N1] and Wagh [W2]. Köthe & Toeplitz duals for bicomplex sequence spaces, defined and studied in [W3], have been extended further. Two types of duals namely αβ- dual and βα- dual have been defined and relations between these duals and the duals of classes defined by [S2] and subclasses defined by [W2] have been established. Relation between these duals and the i2 – conjugate of a bicomplex number is also studied.

Mamta Amol Wagh
Mamta Amol Wagh Deen Dayal Upadhyaya College, University of Delhi
Sanjeev Kumar
Sanjeev Kumar P.E.C. University of Technology, Chandigarh.

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Mamta Amol Wagh. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 14 Issue F6
Pg. 17- 23
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On Certain Bicomplex Duals

Mamta Amol Wagh
Mamta Amol Wagh Deen Dayal Upadhyaya College, University of Delhi
Sanjeev Kumar
Sanjeev Kumar P.E.C. University of Technology, Chandigarh.

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