3 papers
math.FA2024
Entropy numbers and box dimension of polynomials and holomorphic functions
Daniel Carando, Carlos D'Andrea, Leodan A. Torres +1
We study entropy numbers and box dimension of (the image of) homogeneous polynomials and holomorphic functions between Banach spaces. First, we see that entropy numbers and box dim…
math.FA2019
Injective polynomial ideals and the domination property
Geraldo Botelho, Leodan A. Torres
After sketching the basic theory of injective ideals of homogeneous polynomials, we characterize injective polynomial ideals by means of a domination property and applications of t…
math.FA2018
Generalized adjoints and applications to composition operators
Geraldo Botelho, Leodan A. Torres
We generalize the classical notion of adjoint of a linear operator and the Aron-Schottenloher notion of adjoint of a homogeneous polynomial. The general notion is shown to enjoy se…