On Certain Bicomplex Duals
bicomplex numbers, bicomplex sequences, 2 i - conjugate, köthe
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 i 2 -conjugate of a bicomplex number is also studied.
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2014-10-29
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