Functional Analysis

Rudin, W. (1991). Functional Analysis. McGraw-Hill.

Type

Book

Intellectual base

Textbook

Year

1991

Link

https://openlibrary.org/works/OL37475966Wmatched

Cited from

computer_science

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Higher Order Function
  • In mathematics it is operators on functions: differentiation maps a function to its derivative, the Fourier and Laplace transforms map functions to functions, and functionals map functions to scalars — the whole field of functional analysis studies higher-order operations on function spaces.

    This sourceStandard text treating operators and functionals as higher-order maps on function spaces — differentiation, integral transforms, and linear functionals.

Domain-specific

• Antilinear Map
  • It is a precise semilinear rule: over the underlying real vector spaces, (A) is linear, while multiplication by (i) reverses sign, (A(iv)=-iA(v)).
• Lomonosov's invariant subspace theorem
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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