Verónica Dimant

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20152024

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9 papers · 1 filter

math.FA2024

Fibers and Gleason parts for the maximal ideal space of $A_{u} (B_{ℓ_{p}})$

Verónica Dimant, Silvia Lassalle, Manuel Maestre

In the early nineties, R. M. Aron, B. Cole, T. Gamelin and W.B. Johnson initiated the study of the maximal ideal space (spectrum) of Banach algebras of holomorphic functions define…

math.FA2021

A look into homomorphisms between uniform algebras over a Hilbert space

Verónica Dimant, Joaquín Singer

We study the vector-valued spectrum $M_{u, \infty} (B_{ℓ_{2}}, B_{ℓ_{2}})$ which is the set of nonzero algebra homomorphisms from $A_{u} (B_{ℓ_{2}})$ (the algebra…

math.FA2019

Homomorphisms between algebras of holomorphic functions on the infinite polydisk

Verónica Dimant, Joaquín Singer

We study the vector-valued spectrum $M_{\infty} (B_{c_{0}}, B_{c_{0}})$ , that is, the set of non null algebra homomorphisms from $H^{\infty} (B_{c_{0}})$ to $\mathcal H^\inft…

math.FA2019

The polarization constant of finite dimensional complex spaces is one

Verónica Dimant, Daniel Galicer, Jorge Tomás Rodríguez

The polarization constant of a Banach space $X$ is defined as $c (X) := k \to \infty lim sup c (k, X)^{\frac{1}{k}},$ where $c (k, X)$ stands fo…

math.FA2019

Gleason parts for algebras of holomorphic functions on the ball of $c_{0}$

Richard M. Aron, Verónica Dimant, Silvia Lassalle +1

For a complex Banach space $X$ with open unit ball $B_{X},$ consider the Banach algebras $H^{\infty} (B_{X})$ of bounded scalar-valued holomorphic functions and the subalgebra $\…

math.FA2019

A fibered description of the vector-valued spectrum

Verónica Dimant, Joaquín Singer

For Banach spaces $X$ and $Y$ we study the vector-valued spectrum $M_{\infty} (B_{X}, B_{Y})$ , that is the set of non null algebra homomorphisms from $H^{\infty} (B_{X})$ to $…

Fibers and Gleason parts for the maximal ideal space of Au​(Bℓp​​)

A look into homomorphisms between uniform algebras over a Hilbert space

Homomorphisms between algebras of holomorphic functions on the infinite polydisk

The polarization constant of finite dimensional complex spaces is one

Gleason parts for algebras of holomorphic functions on the ball of c0​

A fibered description of the vector-valued spectrum

Fibers and Gleason parts for the maximal ideal space of $A_{u} (B_{ℓ_{p}})$

Gleason parts for algebras of holomorphic functions on the ball of $c_{0}$