Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: uniform boundedness theorem | Statement: [Banach–Steinhaus theorem, alsoKnownAs, uniform boundedness theorem]

Target entity: uniform boundedness theorem
Context triple: [Banach–Steinhaus theorem, alsoKnownAs, uniform boundedness theorem]

• A. Arzelà–Ascoli theorem
  The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
• B. Banach–Steinhaus theorem chosen
  The Banach–Steinhaus theorem is a fundamental result in functional analysis that characterizes when a family of continuous linear operators is uniformly bounded, with major implications for the behavior of sequences of operators on Banach spaces.
• C. Egorov's theorem
  Egorov's theorem is a result in measure theory that states almost everywhere pointwise convergence of a sequence of measurable functions on a finite measure space can be made uniform on a subset of arbitrarily large measure.
• D. Banach–Alaoglu theorem
  The Banach–Alaoglu theorem is a fundamental result in functional analysis stating that the closed unit ball in the dual of a normed space is compact in the weak-* topology.
• E. Borel–Lebesgue theorem
  The Borel–Lebesgue theorem is a fundamental result in real analysis and topology that characterizes compact subsets of Euclidean space via the property that every open cover admits a finite subcover.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.