3 citations · 3 across the 6 of their papers we have counts for
7 papers
Projection Constants of Polynomial Spaces via Representation Theory
Andreas Defant, Daniel Galicer, Martín Mansilla +3
We develop a representation-theoretic framework for computing projection constants of finite-dimensional subspaces of , where is a compact homogeneous -space. Within t…
Intrinsic Bohnenblust--Hille Inequalities for Local Qudit Systems
Andreas Defant, Daniel Galicer
We study dimension-free Bohnenblust--Hille inequalities for local operators on systems of -level qudits. For the operator space of support at most , uniformly over all tensor…
Support-Sensitive Bohnenblust-Hille Inequalities and Local Invariants on Hamming Schemes
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We investigate local invariants and geometric phenomena for polynomial spaces of low degree on the -ary Hamming scheme , where denotes the cyclic group of order …
Local constants and Bohr's phenomenon for Banach spaces of analytic polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The primary aim of this work is to develop methods that provide new insights into the relationships between fundamental constants in Banach space theory--specifically, the projecti…
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…
Variants of a multiplier theorem of Kislyakov
Andreas Defant, Mieczysław Mastyło, Antonio Pérez Hernández
We prove stronger variants of a multiplier theorem of Kislyakov. The key ingredients are based on ideas of Kislaykov and the Kahane-Salem-Zygmund inequality. As a by-product we sho…
Local complementation and the extension of bilinear mappings
J. M. F. Castillo, A. Defant, R. García +2
We study different aspects of the connections between local theory of Banach spaces and the problem of the extension of bilinear forms from subspaces of Banach spaces. Among other…