• Rampal Maurya
• Krishna Bhan Gupta

In this paper, we introduce the sequence spaces ℓ𝑝 𝜆 (Δ) and ℓ∞ 𝜆 (Δ) of non-absolute type and prove that the spaces ℓ𝑝 𝜆 (Δ) and ℓ∞ 𝜆 (Δ) are linearly isomorphic for 0 < 𝑝 < ∞. We show that ℓ𝑝 𝜆 (Δ) is a 𝑝 −normed space for 0 < 𝑝 < 1 and 𝐵𝐾-space for 1 ≤ 𝑝 < ∞. Further, we derive some inclusions on ℓ𝑝 𝜆 (Δ). Finally, we construct a basis for ℓ𝑝 𝜆 (Δ)

: Sequence spaces, convergence, boundedness, linear isomorphism.

"On Some New Sequence Spaces of NonAbsolute Type Related to lp", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 6, page no.b881-b885, June-2024, Available :http://www.jetir.org/papers/JETIR2406197.pdf

"On Some New Sequence Spaces of NonAbsolute Type Related to lp", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 6, page no. ppb881-b885, June-2024, Available at : http://www.jetir.org/papers/JETIR2406197.pdf