Geodesic
Orlicz-lacunary bicomplex sequence spaces of difference operators
Filomat, Tome 37 (2023) no. 8, p. 2421

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DOI

In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are complete paranormed spaces. Further, some inclusion relations between these spaces and some interesting examples are established. Finally, we prove some results on modified complex Banach Algebra in the third section of the paper.
DOI : 10.2298/FIL2308421R
Classification : 40A05, 40A30
Keywords: Orlicz function, paranorm space, lacunary sequence spaces, bicomplex sequence spaces, solidity 
Kuldip Raj; Ayhan Esi; Charu Sharma. Orlicz-lacunary bicomplex sequence spaces of difference operators. Filomat, Tome 37 (2023) no. 8, p. 2421 . doi: 10.2298/FIL2308421R
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     title = {Orlicz-lacunary bicomplex sequence spaces of difference operators},
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     year = {2023},
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     doi = {10.2298/FIL2308421R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308421R/}
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