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20082026
most citedAvoiding catastrophic failure in correlated networks of networks

292 citations

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6 papers · 1 filter

math.FA2024

Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We investigate projection constants for spaces of bihomogeneous harmonic and bihomogeneous polynomials on the unit sphere in finite-dimensional complex Hilbert spaces. Using averag…

math.FA2024★ 1 cited

Revisiting Operator -Compact Mappings

Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer

We continue our study of the mapping ideal of operator -compact maps, previously introduced by the authors. Our approach embraces a more geometric perspective, delving into the…

math.FA2024

Minimal projections onto spaces of polynomials on real euclidean spheres

Andreas Defant, Daniel Galicer, Martín Mansilla +2

We investigate projection constants within classes of multivariate polynomials over finite-dimensional real Hilbert spaces. Specifically, we consider the projection constant for sp…

math.FA2017

On the linear polarization constants of finite dimensional spaces

Daniel Carando, Damián Pinasco, Jorge Tomás Rodríguez

We study the linear polarization constants of finite dimensional Banach spaces. We obtain the correct asymptotic behaviour of these constants for the spaces : they behave…

math.FA2012★ 5 cited

Lower bounds for norms of products of polynomials on spaces

Daniel Carando, Damian Pinasco, Jorge Tomás Rodríguez

For we obtain sharp inequalities for the supremum of products of homogeneous polynomials on , whenever the number of factors is no greater than the dimension of t…

math.FA2008★ 4 cited

Orthogonally additive holomorphic functions of bounded type over

Daniel Carando, Silvia Lassalle, Ignacio Zalduendo

It is known that all -homogeneous orthogonally additive polynomials over are of the form Thus factors all orthogonally additi…