Linked from

The 18 pages that link to Functional analysis, each with the reason it gives.

• Mathematical physicsBroader topic: It supplies tools for analyzing quantum observables and differential operators on function spaces.

• Hahn–Banach theoremNarrower topic: The theorem became a foundational tool in this field.

• Mathematical analysisBroader topic: It lifts analytic questions from individual functions to infinite-dimensional spaces.

• Stefan BanachNarrower topic: Banach’s work helped establish this field as a coherent discipline.

• Convex analysisNarrower topic: It supplies the topological and dual-space setting for infinite-dimensional convex analysis.

• Fredholm alternativeNarrower topic: The alternative became a general theorem within this developing field.

• Open mapping theoremNarrower topic: The theorem is one of the field’s basic structural results.

• Banach–Steinhaus theoremNarrower topic: The theorem is a foundational result about bounded linear maps between normed spaces.

• Lwów School of MathematicsNarrower topic: It was the central field in which the Lwów mathematicians made lasting contributions.

• Vito VolterraRelated: Volterra helped establish the theory of functionals and operators that developed into this field.

• Eberlein–Šmulian theoremNarrower topic: The theorem emerged from the study of Banach spaces and their duals.

• Mazur–Ulam theoremNarrower topic: The theorem belongs to the geometric foundations of this field.

• Hahn decomposition theoremNarrower topic: The theorem became foundational in the measure-theoretic tools of functional analysis.

• Jean DieudonnéNarrower topic: It is the broad field containing much of Dieudonné’s early research.

• Anna Johnson Pell WheelerNarrower topic: Wheeler's research helped develop this field's early theory of operators and equations.

• Banach–Mazur theoremNarrower topic: The theorem is a representation result in the theory of infinite-dimensional spaces.

• Friedrichs' inequalityNarrower topic: The inequality belongs to the toolkit linking function spaces and differential operators.

• Ryll-Nardzewski fixed-point theoremNarrower topic: Locally convex spaces place the theorem within the framework of functional analysis.