Functional Analysis

The Schauder fixed-point theorem is an extension of the Brouwer fixed-point theorem to locally convex topological vector spaces

the Fréchet derivative is a derivative defined on normed spaces

Functional analysis

functional analysis, especially spectral theory

made fundamental advances in the areas of mathematical logic, probability theory, operator theory, ergodic theory, and functional analysis

His research focuses were potential theory, probability theory, and functional analysis.

Rota began his career as a functional analyst, but switched to become a distinguished combinatorialist.

he made important contributions to functional analysis

known for important contributions to topology, functional analysis, mathematical physics

known for his work in functional analysis

He is best known for his work in functional analysis, statistics and probability.

He made contributions in functional analysis, combinatorics, differential geometry, topology, partial differential equations, and Galois theory.

functional analysis

functional analysis

being one of the founders of functional analysis

Kantorovich had important results in functional analysis, approximation theory, and operator theory

including functional analysis, combinatorics, graph theory, and percolation theory

for research connecting the fields of functional analysis and combinatorics

notable for research in abstract algebra, algebraic geometry, and functional analysis

who worked on measure theory, complex analysis, functional analysis and operator theory

who worked on integral equations, functional analysis, and the history of mathematics

in functional and harmonic analysis

known for his work in functional analysis as well as his expository books

Later in his career his interests turned more towards functional analysis

In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking

In functional analysis, compact operators are linear operators on Banach spaces that map bounded sets to relatively compact sets.

In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function o

In functional analysis, Namioka's theorem is a result concerning the relationship between separate continuity and joint continuity

functional analysis

functional analysis

Helly wrote important contributions on functional analysis

Kakutani received two awards of the Japan Academy, the Imperial Prize and the Academy Prize in 1982, for his scholarly achievements in general and his work on functional analysis in particular.

Juliusz Paweł Schauder ([ˈjulʲjuʂ ˈpavɛw ˈʂau̯dɛr]; 21 September 1899, October 1943) was a Polish mathematician known for his work in functional analysis, partial differential equations and mathematical physics.

He is credited with "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach-Steinhaus theorem.

Hans Hahn (; German: [haːn]; 27 September 1879-24 July 1934) was an Austrian mathematician and philosopher who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory.

Isaac Namioka (April 25, 1928, September 25, 2019) was a Japanese-American mathematician who worked in general topology and functional analysis.

He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.

Calculus and Analysis Functional Analysis

theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Austrian-German mathematician

who worked in abstract algebra, functional analysis and topological vector spaces

he developed a general theory of infinite dimensional spaces

Mark G Krein was a Soviet mathematician who worked in functional analysis, operator theory, classical analysis and representation theory.

Gustave Choquet was a French mathematician who worked in functional analysis, potential theory, topology and measure theory.

Laurent Schwartz was a French mathematician who is best known for his work in the theory of distributions.

Paul Lévy was a French mathematician who, after starting out as an expert on functional analysis, made important advances in probability theory.