3 papers
math.FA2026
Monomial bases for holomorphic functions on Banach spaces with an unconditional basis
Thiago Grando
Let be a complex Banach space with an unconditional Schauder basis. We prove that the monomials associated with this basis, endowed in each homogeneous degree with the square o…
math.FA2025
Stability results of the Bishop-Phelps-Bollobás property and the generalized AHSP
Thiago Grando, Elisa R. Santos
In this paper, we study the Bishop-Phelps-Bollobás property for operators (BPBp for short). To this end, we investigate the generalized approximate hyperplane series property (gen…
math.FA2025
A monomial basis for the holomorphic functions on certain Banach spaces
Thiago Grando, Mary Lilian Lourenço, Mary Lilian Lourenço
In this article, we prove that the monomials form a basis for the space of holomorphic functions , where denotes either the space $c_0\left(\bigoplus^\in…