We construct a function that lies inLp(...

We study linear and algebraic structures in sets of bounded holomorphic functions on the ball which have large cluster at every possible point (i.e., sphere several complex variables closed unit bidual infinite dimensional case). show that this set is strongly c-algebrable for all separable Banach spaces. For specific spaces including ℓ p or duals Lorentz sequence spaces, we c-algebrability spa...

Abstract The following natural problem was raised independently by Erdős–Hajnal and Linial–Rabinovich in the early ’90 s. How large must independence number $$\alpha (G)$$ α ( G ) of a graph G be whose every m vertices contain an indepe...