5 citations · 10 across the 4 of their papers we have counts for
6 papers
From Sidelnikov-Welch bounds to projection constants
Beata Deregowska, Barbara Lewandowska
In the paper, we prove a recursive version of the weighted Sidelnikov-Welch inequality for real and complex unit vectors. Unlike the classical form, which gives a direct lower boun…
Maximal Projection Constants and Extremal Vector Configurations: Some Conjectures and Examples
Beata Deregowska, Barbara Lewandowska
Let denote the maximal absolute projection constant among -dimensional Banach spaces over or . Its exact value is known only…
When is a subspace of isometrically isomorphic to ?
Beata Deregowska, Simon Foucart, Barbara Lewandowska
It is shown in this note that one can decide whether an -dimensional subspace of is isometrically isomorphic to by testing a finite number of det…
A simple proof of the Grunbaum conjecture
Beata Deregowska, Barbara Lewandowska
Let denote the maximal absolute projection constant over the subspaces of dimension . Apart from the trivial case for , the only known value of $λ_\mathb…
On the value of the fifth maximal projection constant
Beata Derȩgowska, Matthew Fickus, Simon Foucart +1
Let denote the maximal absolute projection constant over real -dimensional subspaces. This quantity is extremely hard to determine exactly, as testified by the fact that…
Quasiarithmetic-type invariant means on probability space
Beata Deręgowska, Paweł Pasteczka
For a family of integral quasiarithmetic means sattisfying certain measurability-type assumptions we search for an integral mean such that $K\bi…