An F-norm on sequences spaces

Idris, Mochammad

Hilbert Journal of Mathematical Analysis
Vol. 3 No. 1 (2024): Hilbert J. Math. Anal.

On sequences spaces, we can choose a Young function that plays a role in determining their norm structure. In this article, we modify the Young function by replacing its convexity property with concavity to define the F-norm in these spaces. Furthermore, we explore the properties of the modified Young function. Additionally, we investigate the completeness of the space, allowing it to be classified as an F-space (Frechet space).