Repository logo

Browsing by Subject "Banach limits"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Quadratic inequalities for functionals in l∞
    (Wydawnictwa AGH, 2021) Herzog, Gerd; Kunstmann, Peer Christian
    For a class of operators $T$ on $l^{\infty}$ and $T$-invariant functionals $\varphi$ we prove inequalities between $\varphi(x)$, $\varphi(x^{2})$ and the upper density of the sets $P_r:=\{n \in \mathbb{N}_0: \varphi((T^{n}x)\cdot x) \gt r\}.$ Applications are given to Banach limits and integrals.