57 citations · 299 across the 47 of their papers we have counts for
5 papers · 1 filter
Norm attaining vectors and Hilbert points
Konstantinos Bampouras, Ole Fredrik Brevig
Let be a Hilbert space that can be embedded as a dense subspace of a Banach space such that the norm of the embedding is equal to . We consider the following statements…
The norm of the backward shift on is
Ole Fredrik Brevig, Kristian Seip
We show that the norm of the backward shift operator on is , and we identify the functions for which the norm is attained.
An extension of Bohr's theorem
Ole Fredrik Brevig, Athanasios Kouroupis
The following extension of Bohr's theorem is established: If a somewhere convergent Dirichlet series has an analytic continuation to the half-plane $\mathbb{C}_θ= \{s = σ+it\,:…
The best constant in a Hilbert-type inequality
Ole Fredrik Brevig
We establish that \[\sum_{m=1}^\infty \sum_{n=1}^\infty a_m \overline{a_n} \frac{mn}{(\max(m,n))^3} \leq \frac{4}{3}\sum_{m=1}^\infty |a_m|^2\] holds for every square-summable sequ…
Maximal norm Hankel operators
Ole Fredrik Brevig, Kristian Seip
A Hankel operator on the Hardy space of the unit circle with analytic symbol has minimal norm if and maximal norm if $\|\mathbf{…