η- Dual of generalized triple sequence space

Mohd Javed *, Seraj Ahemed Khan, Insha Sami and Akanksha Pandey

Department of Mathematics, Shibli National College, Azamgarh, Uttar Pradesh, India.
 
Review
International Journal of Science and Research Archive, 2024, 12(02), 1420–1425.
Article DOI: 10.30574/ijsra.2024.12.2.1189
Publication history: 
Received on 19 May 2024; revised on 26 July 2024; accepted on 29 July 2024
 
Abstract: 
In this paper, we introduce bounded, convergent, null and eventually alternating triple sequence spaces, i.e.3_(l_∞ ),3_c, 〖 3〗_(c_0 ) and respectively. Then we find -dual of order r (0  of these spaces. Further, we check whether they are perfect or not.
 
Keywords: 
Sequence spaces; Kothe Toeplitz duals; α-duals; η-duals .
 
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