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: Dunford–Schwartz theorem | Statement: [Jacob T. Schwartz, notableWork, Dunford–Schwartz theorem]

Target entity: Dunford–Schwartz theorem
Context triple: [Jacob T. Schwartz, notableWork, Dunford–Schwartz theorem]

• A. 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.
• B. Herglotz's theorem
  Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
• C. 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.
• D. Scott–Mazur theorem
  The Scott–Mazur theorem is a result in functional analysis that characterizes when a Banach space is reflexive in terms of the weak compactness of its closed unit ball.
• E. Hille–Yosida theorem
  The Hille–Yosida theorem is a fundamental result in functional analysis that characterizes the generators of strongly continuous one-parameter semigroups of linear operators on Banach spaces.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Dunford–Schwartz theorem
Target entity description: The Dunford–Schwartz theorem is a fundamental result in functional analysis and ergodic theory that provides convergence properties for iterates of certain linear operators on L¹ and L^∞ spaces.

• A. 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.
• B. Herglotz's theorem
  Herglotz's theorem is a fundamental result in harmonic analysis and probability theory that characterizes positive-definite functions on the unit circle via representing measures.
• C. 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.
• D. Scott–Mazur theorem
  The Scott–Mazur theorem is a result in functional analysis that characterizes when a Banach space is reflexive in terms of the weak compactness of its closed unit ball.
• E. Hille–Yosida theorem
  The Hille–Yosida theorem is a fundamental result in functional analysis that characterizes the generators of strongly continuous one-parameter semigroups of linear operators on Banach spaces.
• F. None of above. chosen