Math Problems Vault
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Analysis
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Operator theory
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Spectral theory of operators
Compact operators
[
670
/
52%
]
Subtopics
Fredholm theory
[
272
/
55%
]
Hilbert-Schmidt operators
[
65
/
54%
]
Compactness of integral operators
[
40
/
57%
]
Non-invertibility and range of compact operators
[
35
/
49%
]
Compact operators -- definition and ideal properties
[
27
/
37%
]
Singular values (s-numbers) of compact operators
[
26
/
50%
]
Compact operators and weak convergence
[
25
/
52%
]
Compactness and Fredholm properties of multiplication operators
[
25
/
76%
]
Spectral decomposition of compact normal operators
[
22
/
14%
]
Compact embeddings of function spaces
[
21
/
71%
]
Compactness via the adjoint, powers and operator order
[
21
/
67%
]
Spectrum of a compact operator (Riesz-Schauder theory)
[
21
/
52%
]
Schatten classes and trace-class operators
[
19
/
32%
]
Spectra of concrete compact operators
[
19
/
84%
]
Compactness of shift, composition, differentiation and matrix operators
[
17
/
47%
]
Approximation property of Banach spaces
[
13
/
31%
]
Automatic compactness of bounded operators
[
8
/
25%
]
The algebra of compact operators
[
8
/
0%
]
Operator ideals and the Calkin algebra
[
7
/
100%
]
Norm attainment by compact operators
[
6
/
67%
]
Schauder's theorem on compact adjoints
[
6
/
67%
]
Nuclear operators between Banach spaces
[
5
/
40%
]
Weyl's theorem on compact perturbations
[
3
/
100%
]
Calkin's theorem on ideals of B(H)
[
2
/
50%
]
Daugavet equation
[
1
/
0%
]
Invariant Subspace Nests
[
1
/
0%
]
Lomonosov's invariant subspace theorem
[
1
/
0%
]
Birman-Schwinger Principle
Relatively Compact Perturbations