Foundations of Functional Analysis
E747352
Foundations of Functional Analysis is a seminal mathematical text that systematically develops the core concepts and theorems of functional analysis, particularly in the tradition of the Riesz school.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Foundations of Functional Analysis canonical | 1 |
Statements (37)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
textbook ⓘ |
| academicDiscipline | mathematics ⓘ |
| covers |
applications to mathematical physics
ⓘ
distribution theory ⓘ locally convex spaces ⓘ topological vector spaces ⓘ |
| emphasizes |
Riesz representation theorems
NERFINISHED
ⓘ
measure-theoretic foundations ⓘ rigorous proof-based development ⓘ |
| field | functional analysis ⓘ |
| focusesOn |
Banach spaces
ⓘ
Hahn–Banach theorem NERFINISHED ⓘ Hilbert spaces ⓘ applications to integral equations ⓘ applications to partial differential equations ⓘ bounded linear operators ⓘ closed graph theorem NERFINISHED ⓘ compact operators ⓘ duality in Banach spaces ⓘ inner product spaces ⓘ linear operators ⓘ normed linear spaces ⓘ open mapping theorem ⓘ operator spectra ⓘ spectral theory ⓘ uniform boundedness principle NERFINISHED ⓘ weak and weak-* topologies ⓘ |
| goal | to present core concepts and theorems of functional analysis ⓘ |
| hasStyle |
axiomatic development
ⓘ
systematic exposition ⓘ |
| influencedBy | Riesz school of functional analysis NERFINISHED ⓘ |
| intendedFor |
graduate students in mathematics
ⓘ
researchers in functional analysis ⓘ |
| isConsidered | seminal text in functional analysis ⓘ |
| isUsedAs |
reference for functional analysis courses
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self-study resource for analysts ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.