| Abstract: |
| In this talk, we first recall a few Banach spaces, such as continuous function space, continuously differentiable function space, bounded variation space, H\older spaces, oscillation spaces, and convex-Lipschitz spaces defined on a compact interval of the real line. Then, we will discuss the effect of some bounded linear operators on fractal dimensions of the graphs of functions belonging to these spaces. We also shed light on the impact of some well-known positive operators on the dimension. |
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