Applications of compact multipliers to algebrability of $({\ell }_{\infty }\setminus c_0)\cup \{0\}$ and $(B({\ell }_2(\mathbb{N}))\setminus K({\ell }_2(\mathbb{N}))\cup \{0\}.$

Willian Franca, Jorge J. Garcés

We introduce a generator-counting refinement of algebrability for abelian $C^{\ast }$-algebras and related Banach algebras. Given an abelian $C^{\ast }$-algebra $A$, we define $(C^{\ast })$-genalgeb…