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20112026
most citedThe Bohr radius of the -dimensional polydisk is equivalent to

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math.FA2026

The Separable Quotient Problem and the Lotz Property in Banach Spaces

Gustavo Araújo, Anderson Barbosa, Juan B. Seoane-Sepúlveda

In this paper, in addition to establishing several new sufficient or equivalent conditions for the well-known Separable Quotient Problem (SQP), we show that every infinite-dimensio…

math.FA2026

SOT-large subspaces of non-cyclic operators

N. G. Albuquerque, G. Araújo, L. Bernal-González +2

In this paper, we consider the strong operator topology (SOT) on the space of continuous linear operators on an infinite-dimensional Fréchet space . The existe…

math.FA2026

A Levin-Milman theorem for Young variation

N. G. Albuquerque, D. Bugajewska, E. Demétrio +1

In 1940, Levin\footnotemark[1] and Milman proved that a closed linear subspace of whose elements all have bounded Jordan variation must be finite-dimensional. We prove its…

math.FA2024

Algebrability and Riemann integrability of the composite function

E. D'Aniello, J. Fernández-Sánchez, M. Maiuriello +1

In this note we show that there exist a -generated free algebra of Riemann integrable functions and a free algebra $\mat…

math.FA2015★ 2 cited

Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

P. Jiménez-Rodríguez, G. A. Muñoz-Fernández, M. Murillo-Arcila +1

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for -homogeneous polynomials in is exactly . We also give th…

math.FA2014

On the polynomial Hardy--Littlewood inequality

G. Araujo, P. Jimenez-Rodriguez, G. Munoz-Fernandez +4

We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.