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
A monomial basis for the holomorphic functions on certain Banach spaces
Thiago Grando, 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…
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 (gene…