BabelNet

bn:02883598n

Noun Concept

Categories: Integral calculus, Lp spaces, Measure theory

essential infimum and essential supremum essential supremum essential supremum and essential infimum Ess inf Ess sup

In mathematics, the concepts of essential infimum and essential supremum are related to the notions of infimum and supremum, but adapted to measure theory and functional analysis, where one often deals with statements that are not valid for all elements in a set, but rather almost everywhere, that is, except on a set of measure zero. Wikipedia

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The supremum (least upper bound) of a function which holds almost everywhere. In symbols, e s s sup f = inf { M : μ ( { x : f ( x ) > M } ) = 0 }. Wiktionary

IS A

function

quality

element

HAS PART

essential infimum and essential supremum

PART OF

essential infimum and essential supremum

DIFFERENT FROM

infimum and supremum

STUDIED BY

functional analysis