# Top functional analysis (Trending topics)

The following are the current most viewed articles on Wikipedia within Wikipedia's Functional analysis category. Think of it as a What's Hot list for Functional analysis. More info »

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Rank Topic Wikipedia views
1 Convolution 3,390
2 Singular value decomposition 2,301
3 Monotonic function 1,610
4 Commutativity 1,500
5 Projection (linear algebra) 1,091
6 Associativity 936
7 Functional analysis 841
8 Perturbation theory 673
9 Gram–Schmidt process 622
10 Linear subspace 565
11 Wavelet Transform 494
12 Distribution (mathematics) 492
13 Dual space 448
14 Eigenfunction 444
15 Orthonormal basis 441
16 Hölder's inequality 343
17 Orthonormality 338
18 Density matrix 281
19 Riesz representation theorem 248
20 Weight function 240
21 Linear functional 230
22 Bounded set 214
23 Uniform norm 197
24 Orthogonal functions 183
25 Unit sphere 167
26 Hahn–Banach theorem 161
27 Circular convolution 161
28 Baire category theorem 127
29 Generalizations of the derivative 127
30 Hölder condition 118
31 Parseval's identity 117
32 Orthogonal complement 115
33 Unitary transformation 113
34 Kernel (linear operator) 107
35 Baire space 104
36 Sequence space 103
37 Quotient space (linear algebra) 101
38 Operator algebra 98
39 Kakutani fixed point theorem 90
40 Plancherel theorem 87
41 Volterra series 86
42 Weierstrass M-test 79
43 Square-integrable function 79
44 Weak derivative 75
45 Polarization identity 75
46 Uniform boundedness principle 72
47 Mercer's theorem 71
48 Free probability 71
49 Sesquilinear form 71
50 Open mapping theorem (functional analysis) 61
51 C0-semigroup 58
52 Closed graph theorem 57
53 Min-max theorem 56
54 Neumann series 50
55 Continuous linear extension 48
56 Pseudo-differential operator 48
57 Mollifier 48
58 Tensor product of Hilbert spaces 47
59 Choquet theory 47
60 Partial trace 45
61 Banach–Alaoglu theorem 43
62 List of functional analysis topics 42
63 Multiplication operator 41
64 Invariant subspace problem 39
65 Gelfand representation 37
66 Wold decomposition 35
67 Shannon wavelet 35
68 Gelfand–Naimark–Segal construction 34
69 Direct integral 34
70 Discontinuous linear map 34
71 Complementarity theory 34
72 Positive element 33
73 Schauder fixed point theorem 33
74 Constructive quantum field theory 33
75 Gelfand–Naimark theorem 32
76 Geometric quantization 32
77 Bochner's theorem 32
78 Bounded mean oscillation 32
79 Continuous linear operator 30
80 Stone's theorem on one-parameter unitary groups 29
81 Riesz's lemma 29
82 Beta wavelet 29
83 Marcinkiewicz interpolation theorem 28
84 Kantorovich theorem 28
85 Ordered vector space 28
86 Choquet integral 28
87 Banach–Mazur compactum 28
88 Polar set 27
89 Hamburger moment problem 27
90 Fixed point theorems in infinite-dimensional spaces 26
91 Functional square root 26
92 Coercive function 26
93 Continuous functions on a compact Hausdorff space 26
94 Continuous wavelet 24
95 Absorbing set 24
96 High-dimensional statistics 24
97 Minkowski functional 24
98 Harmonic spectrum 23
99 Functional determinant 23
100 Antiunitary operator 23
101 Extensions of symmetric operators 23
102 Legendre wavelet 23
103 C space 23
104 Christoffel–Darboux formula 23
105 M. Riesz extension theorem 21
106 Zonal spherical function 21
107 Bernstein's inequality (mathematical analysis) 19
108 Dual pair 19
109 Colombeau algebra 18
110 Dirichlet algebra 18
111 Hille–Yosida theorem 17
112 Banach–Mazur theorem 17
113 Uniformly Cauchy sequence 17
114 State (functional analysis) 16
115 Predual 16
116 Compact convergence 16
117 Gårding's inequality 16
118 Analytic semigroup 16
119 Free convolution 16
120 Pettis integral 16
121 Positive linear functional 15
122 Hellinger–Toeplitz theorem 15
123 Analytic Fredholm theorem 15
124 Bochner space 15
125 James' theorem 15
126 Asplund space 15
127 Closed range theorem 14
128 Plancherel theorem for spherical functions 14
129 Bs space 14
130 Approximation property 13
131 Compression (functional analysis) 13
132 Banach limit 13
133 Spectral theory of compact operators 12
134 CCR and CAR algebras 11
135 Energetic space 11
136 Trigonometric moment problem 11
137 Convolution power 11
138 Lions–Lax–Milgram theorem 11
139 T(1) theorem 11
140 Wiener series 11
141 Eberlein–Šmulian theorem 10
142 Continuously embedded 10
143 Riesz space 10
144 Grothendieck inequality 10
145 Kuratowski embedding 10
146 Free Poisson distribution 10
147 Zeta function (operator) 10
148 F-space 9
149 Sazonov's theorem 9
150 Uniform algebra 9
151 Beta-dual space 8
152 Quotient of subspace theorem 8
153 Ryll-Nardzewski fixed point theorem 8
154 Quasicontraction semigroup 8
155 Dvoretzky's theorem 8
156 Lumer–Phillips theorem 8
157 Dunford–Schwartz theorem 8
159 Ekeland's variational principle 8
160 Hypercyclic operator 8
161 Measure of non-compactness 7
162 System of imprimitivity 7
163 Peetre theorem 7
164 Goldstine theorem 7
165 Lauricella's theorem 7
166 Tonelli's theorem (functional analysis) 7
167 Aubin-Lions lemma 7
168 Riesz sequence 7
169 Compactly embedded 7
170 Cylindrical σ-algebra 7
171 Free independence 7
172 Beppo-Levi space 7
173 Disk algebra 6
174 Conjugate index 6
175 Schur's property 6
176 Orlicz–Pettis theorem 6
177 Bochner measurable function 6
178 Bounded deformation less than 5 views
179 Weakly measurable function less than 5 views
180 Partially-defined operator less than 5 views
181 Functional analysis topics less than 5 views
182 Spectrum continuation analysis less than 5 views
183 Bred vectors less than 5 views
184 Müntz–Szász theorem less than 5 views
185 Minlos' theorem less than 5 views
186 Strongly positive bilinear form less than 5 views
187 Operators less than 5 views
188 Spectral set less than 5 views
189 Mazur's lemma less than 5 views
190 Pettis' theorem less than 5 views
191 Banach spaces less than 5 views
192 Symmetric convolution less than 5 views

# Encyclopedia

Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions.

The main article for this category is Functional analysis.

## Subcategories

This category has the following 12 subcategories, out of 12 total.

## Pages in category "Functional analysis"

The following 178 pages are in this category, out of 178 total. This list may not reflect recent changes (learn more).

# Study guide

Up to date as of January 14, 2010

### From Wikiversity

This category deals with all aspects of functional analysis.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Functional analysis"

The following 5 pages are in this category, out of 5 total.

# Wiktionary

Up to date as of January 15, 2010

### Definition from Wiktionary, a free dictionary

Words in this category arise in the field of functional analysis.

## Entries in category “Functional analysis”

The following 10 pages are in this category, out of 10 total.