The dual spaces of sets of difference sequences of order m and matrix transformations

• Main Authors: Eberhard Malkowsky, Mursaleen, Suthep Suantai
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=34047218579&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/61218
• Institution: Chiang Mai University

Let p = (pk}∞k=0be a bounded sequence of positive reals, m ∈ and u be s sequence of nonzero terms. If x = (xk}∞k=0is any sequence of complex numbers we write Δ(m)x for the sequence of the m-th order differences of x and Δ(m)uX = {x = (x}∞k=0:uΔ(m)x ∈ X} for any set X of sequences. We determine the α...