Topological properties of operations on spaces of differentiable functions
Topological properties of operations on spaces of differentiable functions is a scholarly work, published in 2019 in ''Advances in Operator Theory''. The main subjects of the publication include differentiable function, biological sequence, scalar multiplication, pure mathematics, algebra over a field, electronic circuit topology, Multiplication, function space, commutative ring, openness to experience, model theory, scalar, mathematics, and fuzzy logic. In this paper, we consider different notions of openness for the scalar multiplication on sequence spaces and spaces of continuous functions. We apply existing techniques to derive weak openness of multiplication on spaces of differentiable functions, endowed with a large collection of quasi-algebra norms.