RT Journal Article
T1 A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory
A1 Arunachalam, Srinivasan
A1 Dutt, Arkopal
A1 Escudero Gutiérrez, Francisco
A1 Palazuelos Cabezón, Carlos
AB The main result of this work shows that Bohnenblust–Hille inequality for m-homogeneous polynomials holds with constant one when the infinity norm is replaced by the completely bounded norm. Moreover, we show that this inequality finds some interesting consequences in quantum learning theory. In the second part of this paper, we broaden our investigation of the Bohnenblust–Hille inequality to other contexts. In particular, we extend recent results by Volberg and Zhang, demonstrating its applicability within a framework we have termed “Learning Low-Degree Quantum Objects”.
PB Springer Nature Link
SN 0025-5831
SN 1432-1807
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120123
UL https://hdl.handle.net/20.500.14352/120123
LA eng
NO Arunachalam, S., Dutt, A., Escudero Gutiérrez, F. et al. A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory. Math. Ann. (2025)
DS Docta Complutense
RD 17 may 2025