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alpha>Sarika: Created page with "{{Navbox | name = Functional analysis | title = Functional analysis (topics – glossary) |..."

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{{Navbox
| name = Functional analysis
| title = [[Functional analysis]] ([[List of functional analysis topics|topics]] – [[Glossary of functional analysis|glossary]])
| listclass = hlist
| state = {{{state|}}}

| group1 = Spaces
| list1 =
{{Navbox|subgroup
| group1 =
| list1 =
*[[Banach space|Banach]]
*[[Besov space|Besov]]
*[[Fréchet space|Fréchet]]
*[[Hilbert space|Hilbert]]
*[[Hölder space|Hölder]]
*[[Nuclear space|Nuclear]]
*[[Orlicz space|Orlicz]]
*[[Schwartz space|Schwartz]]
*[[Sobolev space|Sobolev]]
*[[Topological vector space|topological vector]]
| group2 = Properties
| list2 =
*[[Barrelled space|barrelled]]
*[[Complete topological vector space|complete]]
*[[Dual space|dual]] ([[Dual space#Algebraic dual space|algebraic]]/[[Dual space#Continuous dual space|topological]])
*[[Locally convex topological vector space|locally convex]]
*[[Reflexive space|reflexive]]
*[[separable space|separable]]
}}

| group2 = [[:Category:Theorems in functional analysis|Theorems]]
| list2 =
*[[Hahn–Banach theorem|Hahn–Banach]]
*[[Riesz representation theorem|Riesz representation]]
*[[Closed graph theorem (functional analysis)|closed graph]]
*[[uniform boundedness principle]]
*[[Kakutani fixed-point theorem#Infinite-dimensional generalizations|Kakutani fixed-point]]
*[[Krein–Milman theorem|Krein–Milman]]
*[[min-max theorem|min–max]]
*[[Gelfand–Naimark theorem|Gelfand–Naimark]]
*[[Banach–Alaoglu theorem|Banach–Alaoglu]]

| group3 = Operators
| list3 =
*[[adjoint operator|adjoint]]
*[[bounded operator|bounded]]
*[[compact operator|compact]]
*[[Hilbert–Schmidt operator|Hilbert–Schmidt]]
*[[Normal operator|normal]]
*[[Nuclear operator|nuclear]]
*[[trace class]]
*[[Transpose of a linear map|transpose]]
*[[unbounded operator|unbounded]]
*[[unitary operator|unitary]]

| group4 = Algebras
| list4 =
*[[Banach algebra]]
*[[C*-algebra]]
*[[spectrum of a C*-algebra]]
*[[operator algebra]]
*[[group algebra of a locally compact group]]
*[[von Neumann algebra]]

| group5 = Open problems
| list5 =
*[[invariant subspace problem]]
*[[Mahler's conjecture]]

| group6 = Applications
| list6 =
*[[Hardy space]]
*[[spectral theory of ordinary differential equations]]
*[[heat kernel]]
*[[index theorem]]
*[[calculus of variations]]
*[[functional calculus]]
*[[integral operator]]
*[[Jones polynomial]]
*[[topological quantum field theory]]
*[[noncommutative geometry]]
*[[Riemann hypothesis]]
*[[distribution (mathematics)|distribution]] (or [[generalized function]]s)

| group7 = Advanced topics
| list7 =
*[[approximation property]]
*[[balanced set]]
*[[Choquet theory]]
*[[weak topology]]
*[[Banach–Mazur distance]]
*[[Tomita–Takesaki theory]]


}}
<noinclude>
{{collapsible option}}
[[Category:Mathematics navigational boxes]]
</noinclude>

Template:Functional analysis - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Functional_analysis

Admin: 1 revision imported

alpha>Sarika: Created page with "{{Navbox | name = Functional analysis | title = Functional analysis (topics – glossary) |..."

wikipedia>Mgkrupa: Added {{collapsible option}}