Introduction to Hilbert Space and the Theory of Spectral Multiplicity
E1041773
"Introduction to Hilbert Space and the Theory of Spectral Multiplicity" is a classic mathematical text by Paul Halmos that provides a foundational treatment of Hilbert space theory and the spectral analysis of linear operators.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Introduction to Hilbert Space and the Theory of Spectral Multiplicity canonical | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
monograph ⓘ nonfiction book ⓘ |
| associatedWith |
20th-century mathematics
ⓘ
American mathematical literature ⓘ |
| author |
Paul Halmos
NERFINISHED
ⓘ
Paul R. Halmos NERFINISHED ⓘ |
| coversTopic |
bounded linear operators
ⓘ
inner product spaces ⓘ measure-theoretic methods in operator theory ⓘ multiplicity theory of spectra ⓘ orthonormal bases ⓘ self-adjoint operators ⓘ spectral measures ⓘ spectral theorem ⓘ unitary operators ⓘ |
| describedAs |
classic text in Hilbert space theory
ⓘ
foundational treatment of Hilbert space and spectral multiplicity ⓘ |
| field |
functional analysis
ⓘ
mathematics ⓘ operator theory ⓘ |
| genre |
graduate-level textbook
ⓘ
textbook ⓘ |
| hasConcept |
cyclic subspaces
ⓘ
direct integral decomposition ⓘ multiplicity function of a spectral measure ⓘ normal operators ⓘ orthogonal decomposition of Hilbert spaces ⓘ projection-valued measures ⓘ spectral types ⓘ |
| hasInfluenceOn |
modern treatments of Hilbert space theory
ⓘ
subsequent textbooks on operator theory ⓘ |
| intendedAudience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ researchers in functional analysis ⓘ |
| language | English ⓘ |
| mainSubject |
Hilbert space
ⓘ
linear operators on Hilbert space ⓘ spectral multiplicity ⓘ spectral theory ⓘ |
| relatedWork |
A Hilbert Space Problem Book by Paul R. Halmos
NERFINISHED
ⓘ
Measure Theory by Paul R. Halmos NERFINISHED ⓘ |
| usedAs |
reference in functional analysis
ⓘ
textbook for courses on Hilbert spaces ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.