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: Linear Operators (with Nelson Dunford) | Statement: [Jacob T. Schwartz, notableWork, Linear Operators (with Nelson Dunford)]

Target entity: Linear Operators (with Nelson Dunford)
Context triple: [Jacob T. Schwartz, notableWork, Linear Operators (with Nelson Dunford)]

• A. Theory of Linear Operations
  Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
• B. Riesz and Sz.-Nagy: Functional Analysis
  "Riesz and Sz.-Nagy: Functional Analysis" is a classic textbook in functional analysis that systematically develops the theory of Hilbert and Banach spaces and linear operators, influential in modern analysis and operator theory.
• C. Hilbert–Schmidt operators
  Hilbert–Schmidt operators are a class of compact operators on Hilbert spaces characterized by having finite Hilbert–Schmidt norm, playing a central role in functional analysis and operator theory.
• D. Introduction to Hilbert Space and the Theory of Spectral Multiplicity
  "Introduction to Hilbert Space and the Theory of Spectral Multiplicity" is a classic mathematical text by Paul Halmos that provides a foundational treatment of Hilbert space theory and the spectral analysis of linear operators.
• E. Leçons d’analyse fonctionnelle
  Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Linear Operators (with Nelson Dunford)
Target entity description: "Linear Operators" (with Nelson Dunford) is a landmark three-volume treatise on functional analysis and operator theory that became a foundational reference in modern analysis and related areas of mathematics.

• A. Theory of Linear Operations
  Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
• B. Riesz and Sz.-Nagy: Functional Analysis
  "Riesz and Sz.-Nagy: Functional Analysis" is a classic textbook in functional analysis that systematically develops the theory of Hilbert and Banach spaces and linear operators, influential in modern analysis and operator theory.
• C. Hilbert–Schmidt operators
  Hilbert–Schmidt operators are a class of compact operators on Hilbert spaces characterized by having finite Hilbert–Schmidt norm, playing a central role in functional analysis and operator theory.
• D. Introduction to Hilbert Space and the Theory of Spectral Multiplicity
  "Introduction to Hilbert Space and the Theory of Spectral Multiplicity" is a classic mathematical text by Paul Halmos that provides a foundational treatment of Hilbert space theory and the spectral analysis of linear operators.
• E. Leçons d’analyse fonctionnelle
  Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
• F. None of above. chosen