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Research Paper | Mathematics | Volume 12 Issue 9, September 2023 | Pages: 597 - 601 | India
A New Variant of Banach Space Valued Sequence Space Using Modulus Function
Abstract: The main object of the paper is to introduce a new Banach space valued sequence space ces_? (X,f,p) involving lacunary sequence and a modulus function. Various algebraic and topological properties of the space have been examined. Some inclusion relations between the space have been investigated and information on multipliers for ces_? (X,f,p)has been given. Our results generalize and unify the corresponding earlier results of Karakaya [3], Shiue [12], Sanhan and Suantai [11] and Bala [1].
Keywords: Frechet space, Banach space, Banach algebra, Modulus function, Lacunary sequence
How to Cite?: Indu Bala, "A New Variant of Banach Space Valued Sequence Space Using Modulus Function", Volume 12 Issue 9, September 2023, International Journal of Science and Research (IJSR), Pages: 597-601, https://www.ijsr.net/getabstract.php?paperid=SR23907115700, DOI: https://dx.doi.org/10.21275/SR23907115700