von Neumann inequality

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:inequality
gptkbp:appliesTo contractions on Hilbert space
gptkbp:category inequalities in mathematics
gptkbp:field functional analysis
operator theory
https://www.w3.org/2000/01/rdf-schema#label von Neumann inequality
gptkbp:namedAfter gptkb:John_von_Neumann
gptkbp:relatedTo spectral theory
Sz.-Nagy dilation theorem
gptkbp:sentence For any contraction T on a Hilbert space and any polynomial p, ||p(T)|| ≤ sup{|p(z)| : |z| ≤ 1}
gptkbp:yearProposed 1951
gptkbp:bfsParent gptkb:Szőkefalvi-Nagy_dilation_theorem
gptkbp:bfsLayer 7