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Singular value (or S-number) Fredholm operator; Fuglede's theorem; Compression (functional analysis) Friedrichs extension; Stone's theorem on one-parameter unitary groups; Stone–von Neumann theorem; Functional calculus. Continuous functional calculus; Borel functional calculus; Hilbert–Pólya conjecture
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277. M. Takesaki, Theory of Operator Algebras I, Springer, 2001, 2nd printing of the first edition 1979. Yoshida, Kôsaku (1980), Functional Analysis (sixth ed ...
Add the following into the article's bibliography * {{Rudin Walter Functional Analysis|edition=2}} and then add a citation by using the markup Some sentence in the body of the article.{{sfn | Rudin | 1991 | pp=1-2}} which results in: Some sentence in the body of the article. [1]
Add the following into the article's bibliography * {{Lax Functional Analysis}} and then add a citation by using the markup Some sentence in the body of the article.{{sfn|Lax|2002|pp=1-2}} which results in: Some sentence in the body of the article. [1]
The spectrum of a linear operator that operates on a Banach space is a fundamental concept of functional analysis. The spectrum consists of all scalars λ {\displaystyle \lambda } such that the operator T − λ {\displaystyle T-\lambda } does not have a bounded inverse on X {\displaystyle X} .
In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalues of a matrix.
Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over a continuum. In its most general form, under an FDA framework, each sample element of functional data is considered to be a random function.