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Analysis
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Functional analysis
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Spectral theory of operators
Spectrum and resolvent
[
396
/
55%
]
Subtopics
Essential spectrum
[
72
/
49%
]
Spectral radius formula (Gelfand)
[
62
/
60%
]
Spectral mapping theorem
[
45
/
49%
]
Spectra of multiplication and diagonal operators
[
40
/
65%
]
Computing spectra of concrete operators
[
38
/
87%
]
Spectra of self-adjoint, normal and unitary operators
[
33
/
48%
]
Spectrum of an element of a Banach algebra
[
22
/
18%
]
Spectrum of a compact operator (Riesz-Schauder theory)
[
21
/
52%
]
Spectra of concrete compact operators
[
19
/
84%
]
Resolvent identities, analyticity and resolvent bounds
[
16
/
56%
]
Weyl sequences and approximate point spectrum
[
13
/
38%
]
The spectrum is a nonempty compact set
[
12
/
42%
]
Eigenfunctions and spectrum of the Fourier transform operator
[
11
/
73%
]
Operators with prescribed spectrum
[
10
/
50%
]
Perturbation and semicontinuity of the spectrum
[
10
/
70%
]
Point, continuous, residual and compression spectrum
[
10
/
50%
]
Neumann series, successive approximations and resolvent kernel
[
8
/
100%
]
Spectrum of the Hilbert-space adjoint
[
7
/
43%
]
Spectra of Banach-space adjoints
[
6
/
17%
]
Isolated spectral points, poles of the resolvent and Riesz projections
[
5
/
0%
]
Spectra of direct sums, restrictions and extensions
[
3
/
100%
]
Spectrum lies in the closure of the numerical range
[
3
/
67%
]
Weyl's theorem on compact perturbations
[
3
/
100%
]