A New Outlook for Almost Convergent Sequence Spaces
Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 1
Abstract
The point standing out in the present paper is the sequence spaces , and produced by the domain of the infinite matrix , which is defined in the previous study of Candan [2], where the spaces , and , respectively, are as presented by G.G. Lorentz utilizing the issue of the Banach limits (Acta. Math. 80. 1948, 167-190), andis the double sequential band matrix and G is the generalized weighted mean. Firstly, it is shown that aforementioned spaces are linearly isomorhic to the spaces , and , respectively. In addition to these, andduals of the spaces and are given. Beyond them, the classes and of infinite matrices are characterized, where is a given sequence space.
Authors and Affiliations
Murat CANDAN
Keywords
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