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: Bounded Inverse Theorem | Statement: [Closed Graph Theorem, relatedTo, Bounded Inverse Theorem]

Target entity: Bounded Inverse Theorem
Context triple: [Closed Graph Theorem, relatedTo, Bounded Inverse Theorem]

• A. Banach inverse mapping theorem chosen
  The Banach inverse mapping theorem is a fundamental result in functional analysis stating that a bijective bounded linear operator between Banach spaces has a bounded linear inverse.
• B. Banach–Steinhaus theorem
  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. 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.
• D. Banach–Stone theorem
  The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
• E. open mapping theorem
  The open mapping theorem is a fundamental result in functional analysis stating that any surjective continuous linear operator between Banach spaces maps open sets to open sets.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.