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Research Paper | Mathematics | India | Volume 12 Issue 9, September 2023
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
Edition: Volume 12 Issue 9, September 2023,
Pages: 597 - 601