A Hilbert Space Problem Book
E1041774
A Hilbert Space Problem Book is a classic problem-oriented textbook by Paul Halmos that presents and explores key concepts in Hilbert space theory through a comprehensive collection of exercises and solutions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| A Hilbert Space Problem Book canonical | 1 |
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics textbook ⓘ problem book ⓘ |
| author |
Paul Halmos
NERFINISHED
ⓘ
Paul R. Halmos NERFINISHED ⓘ |
| contains |
hints
ⓘ
problems ⓘ solutions ⓘ |
| emphasizes |
applications of Hilbert space theory
ⓘ
problem solving in functional analysis ⓘ |
| field |
Hilbert space theory
ⓘ
functional analysis ⓘ |
| focus | rigorous treatment of Hilbert space concepts ⓘ |
| genre |
academic textbook
ⓘ
mathematics ⓘ |
| hasReputation |
classic text in Hilbert space theory
ⓘ
standard reference in functional analysis education ⓘ |
| intendedAudience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ researchers in functional analysis ⓘ |
| language | English ⓘ |
| notableFor |
comprehensive collection of Hilbert space exercises
ⓘ
detailed solutions to problems ⓘ systematic development of Hilbert space theory via problems ⓘ |
| pedagogicalApproach |
exercise-based
ⓘ
problem-oriented ⓘ |
| structure | chapters organized by topic in Hilbert space theory ⓘ |
| subject |
Banach spaces related to Hilbert spaces
ⓘ
Fourier series in Hilbert space ⓘ Hilbert spaces ⓘ bounded linear operators ⓘ compact operators ⓘ invariant subspaces ⓘ normal operators ⓘ operator theory ⓘ orthonormal bases ⓘ projections on Hilbert space ⓘ self-adjoint operators ⓘ spectral measures ⓘ spectral theory ⓘ unbounded operators ⓘ |
| usedAs |
course text in functional analysis
ⓘ
reference for Hilbert space theory ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.