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

2023-05-04T04:43:26Z

1 revision imported from alpha:Template:Analysis_in_topological_vector_spaces

← Older revision	Revision as of 10:13, 4 May 2023
(No difference)

alpha>Indicwiki: Created page with "{{Navbox | name = Analysis in topological vector spaces | title = Analysis in topological vector spaces | state = {{{state|uncollapsed..."

2023-02-13T08:01:30Z

Created page with "{{Navbox | name = Analysis in topological vector spaces | title = Analysis in topological vector spaces | state = {{{state|<noinclude>uncollapsed..."

New page

{{Navbox
| name = Analysis in topological vector spaces
| title = [[Mathematical analysis|Analysis]] in [[topological vector space]]s
| state = {{{state|<noinclude>uncollapsed expanded autocollapse</noinclude><includeonly>autocollapse</includeonly>}}}

| image =
| bodyclass = hlist
| selected = {{{1}}}
| above =

|group1 = Basic concepts
|list1 =
* [[Abstract Wiener space]]
** [[Classical Wiener space]]

* [[Bochner space]]
* [[Convex series]]
* [[Cylinder set measure]]
* [[Infinite-dimensional vector function]]
* [[Matrix calculus]]
* [[Vector calculus]]

|group6 = [[Derivative]]s
|list6 =
* [[Differentiable vector–valued functions from Euclidean space]]
* [[Differentiation in Fréchet spaces]]
* [[Fréchet derivative]]
** [[Total derivative|Total]]
* [[Functional derivative]]
* [[Gateaux derivative]]
** [[Directional derivative|Directional]]
* [[Generalizations of the derivative]]
* [[Hadamard derivative]]
* [[Infinite-dimensional holomorphy|Holomorphic]]
* [[Quasi-derivative]]

|group10 = Measurability
|list10 =
* [[Besov measure]]
* [[Cylinder set measure]]
** [[Canonical Gaussian cylinder set measure|Canonical Gaussian]]
** [[Classical Wiener measure]]
* [[Measure (mathematics)|Measure]] like [[Set function|set functions]]
** [[Gaussian measure#Infinite-dimensional spaces|infinite-dimensional Gaussian measure]]
** [[Projection-valued measure|Projection-valued]]
** [[Vector measure|Vector]]
* [[Bochner measurable function|Bochner]] / [[Weakly measurable function|Weakly]] / [[Strongly measurable function|Strongly]] [[measurable function]]
* [[Radonifying function]]

|group12 = [[Integral]]s
|list12 =
* [[Bochner integral|Bochner]]
* [[Direct integral]]
* [[Dunford integral|Dunford]]
* [[Pettis integral|Gelfand–Pettis/Weak]]
* [[Regulated integral|Regulated]]
* [[Paley–Wiener integral|Paley–Wiener]]

|group15 = Results
|list15 =
* [[Cameron–Martin theorem]]
* [[Inverse function theorem]]
** [[Nash–Moser theorem]]
* [[Feldman–Hájek theorem]]
* [[Infinite-dimensional Lebesgue measure|No infinite-dimensional Lebesgue measure]]
* [[Sazonov's theorem]]
* [[Structure theorem for Gaussian measures]]

|group20 = [[Functional calculus]]
|list20 =
* [[Borel functional calculus]]
* [[Continuous functional calculus]]
* [[Holomorphic functional calculus]]

|group17 = Related
|list17 =
* [[Covariance operator]]

|group21 = Applications
|list21 =
* [[Banach manifold]] ([[Banach bundle|bundle]])
* [[Convenient vector space]]
* [[Choquet theory]]
* [[Fréchet manifold]]
* [[Hilbert manifold]]

}}<noinclude>
{{Documentation
|content =
{{Collapsible option |statename=optional}}
}}
[[Category:Mathematics navigational boxes]]
</noinclude>

Template:Analysis in topological vector spaces - Revision history

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

alpha>Indicwiki: Created page with "{{Navbox | name = Analysis in topological vector spaces | title = Analysis in topological vector spaces | state = {{{state|uncollapsed..."