Difference between revisions of "Template:Functional analysis"
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| name = Functional analysis | | name = Functional analysis | ||
| − | + | | title = [[Functional analysis]] ([[List of functional analysis topics|topics]] – [[Glossary of functional analysis|glossary]]) | |
| − | | title = [[Functional analysis]] ([[List of functional analysis topics|topics]]) | + | | listclass = hlist |
| − | | listclass = hlist | + | | state = {{{state|}}} |
| − | | group1 = | + | | group1 = Spaces |
| − | | list1 = | + | | list1 = |
| − | * [[Banach space|Banach]] | + | {{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 metric 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]] | |
| − | * [[ | + | }} |
| − | * [[ | ||
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| − | | group2 = | + | | group2 = Theorems |
| − | | list2 = | + | | list2 = |
| − | * [[ | + | *[[Hahn–Banach theorem|Hahn–Banach]] |
| − | * [[ | + | *[[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 = | + | | group3 = Operators |
| − | | list3 = | + | | list3 = |
| − | * [[ | + | *[[adjoint operator|adjoint]] |
| − | + | *[[bounded operator|bounded]] | |
| − | + | *[[compact operator|compact]] | |
| − | + | *[[Hilbert–Schmidt operator|Hilbert–Schmidt]] | |
| − | + | *[[Normal operator|normal]] | |
| − | + | *[[Nuclear operator|nuclear]] | |
| − | * [[ | + | *[[trace class]] |
| − | * | + | *[[unbounded operator|unbounded]] |
| − | + | *[[unitary operator|unitary]] | |
| − | |||
| − | * [[Hilbert–Schmidt operator|Hilbert–Schmidt]] | ||
| − | |||
| − | * [[Normal operator| | ||
| − | * [[Nuclear operator| | ||
| − | * [[ | ||
| − | * [[ | ||
| − | |||
| − | |||
| − | * [[ | ||
| − | | group4 = | + | | group4 = Algebras |
| − | | list4 = | + | | list4 = |
| − | * [[Banach algebra]] | + | *[[Banach algebra]] |
| − | * [[C*-algebra]] | + | *[[C*-algebra]] |
| − | * [[ | + | *[[spectrum of a C*-algebra]] |
| − | * | + | *[[operator algebra]] |
| − | * [[ | + | *[[group algebra of a locally compact group]] |
| − | * | + | *[[von Neumann algebra]] |
| − | |||
| − | |||
| − | |group5 = | + | | group5 = Open problems |
| − | |list5 = | + | | list5 = |
| − | * [[ | + | *[[invariant subspace problem]] |
| − | + | *[[Mahler's conjecture]] | |
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| − | |||
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| − | * [[ | ||
| − | |||
| − | |||
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| − | | group6 = | + | | group6 = Applications |
| − | | list6 | + | | list6 = |
| − | * [[ | + | *[[Hardy space]] |
| − | * [[ | + | *[[spectral theory of ordinary differential equations]] |
| − | * [[ | + | *[[heat kernel]] |
| − | * [[ | + | *[[index theorem]] |
| − | + | *[[calculus of variation]] | |
| − | + | *[[functional calculus]] | |
| − | + | *[[integral operator]] | |
| − | + | *[[Jones polynomial]] | |
| − | + | *[[topological quantum field theory]] | |
| − | + | *[[noncommutative geometry]] | |
| − | + | *[[Riemann hypothesis]] | |
| − | |||
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| − | * [[ | ||
| − | * | ||
| − | * | ||
| − | * [[ | ||
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| − | * | ||
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| − | * [[ | ||
| − | | group7 = | + | | group7 = Advanced topics |
| − | | list7 = | + | | list7 = |
| − | * [[ | + | *[[approximation property]] |
| − | + | *[[balanced set]] | |
| − | + | *[[weak topology]] | |
| − | + | *[[Banach–Mazur distance]] | |
| − | + | *[[Tomita–Takesaki theory]] | |
| − | * [[ | ||
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| − | * [[ | ||
| − | * [[ | ||
| − | * [[ | ||
| − | + | <!-- ... --> | |
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}} | }} | ||
| − | + | <noinclude> | |
[[Category:Mathematics navigational boxes]] | [[Category:Mathematics navigational boxes]] | ||
| + | [[Category:Functional analysis|*]] | ||
</noinclude> | </noinclude> | ||