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In [[mathematics]], more specifically in [[functional analysis]], a subset <math>T</math> of a [[topological vector space]] <math>X</math> This condition arises frequently in many theorems of functional analysis. ...

In [[mathematical analysis]], '''idempotent analysis''' is the study of [[idempotent semiring]]s, such as the [[tropical semirin * {{cite arXiv |author-link= |eprint=math/0507014v1 |title= The Maslov dequantization, idempotent and t ...

In mathematics, specifically in [[order theory]] and [[functional analysis]], a sequence of positive elements <math>\left(x_i\right)_{i=1}^{\infty}</m ...quences is related to the completeness of the [[Order topology (functional analysis)|order topology]]. ...

* {{annotated link|Interior (topology)}} * {{annotated link|Relative interior}} ...

{{Short description|Named set of points in nonstandard analysis}} ...bn = 0-387-98464-X }}</ref><ref>{{cite web|last1=Wood|first1=Carol|author1-link=Carol Wood|title=The Infinitesimal Monad - Numberphile |url=https://www.you ...

...tor spaces over the normed fields of real or complex numbers in functional analysis."<ref name="exact" /> *Topological vector spaces appearing in functional analysis are typically not linearly topologized (since subspaces do not form a neigh ...

In [[functional analysis]], a '''total set''' (also called a '''complete set''') in a [[vector space * {{annotated link|Kadec norm}} ...

In mathematics, specifically in [[order theory]] and [[functional analysis]], an element <math>x</math> of a [[vector lattice]] <math>X</math> is call * {{annotated link|Quasi-interior point}} ...

In [[mathematics]], more specifically in [[functional analysis]], a '''K-space''' is an [[F-space]] <math>V</math> such that every extensi * {{annotated link|Compactly generated space}} ...

...laĭ Kapitonovich Nikolʹskiĭ|title=Functional analysis I: linear functional analysis|year=1992|publisher=Springer|isbn=978-3-540-50584-6}}</ref> * {{annotated link|Absorbing set}} ...

...{{harvs|txt|last=Gelfand|author1-link=Israel Gelfand|last2=Shilov|author2-link=Georgii Evgen'evich Shilov|year=1968|loc=Chapter IV}}. {{Functional analysis}} ...

In [[mathematics]] &ndash; specifically, in [[functional analysis]] &ndash; a '''Bochner-measurable function''' taking values in a [[Banach s * {{annotated link|Bochner integral}} ...

...ong the most important objects of study. In other areas of [[mathematical analysis]], most spaces which arise in practice turn out to be Banach spaces as well == Banach spaces in other areas of analysis == ...

...t1=Krein|first1=M.|author1-link=Mark Krein|last2=Šmulian|first2=V.|author2-link=Vitold Shmulyan|doi=10.2307/1968735|journal=[[Annals of Mathematics]]|mr=20 * {{annotated link|Krein–Milman theorem}} ...

In mathematics, specifically in [[functional analysis]] and [[order theory]], an '''ordered topological vector space''', also cal {{Main|Normal cone (functional analysis)}} ...

In [[functional analysis]], the '''Borel graph theorem''' is generalization of the [[closed graph th ...id for [[linear map]]s defined on and valued in most spaces encountered in analysis.{{sfn|Trèves|2006|p=549}} ...

* {{annotated link|Banach–Alaoglu theorem}} * {{annotated link|Dual norm}} ...

{{Short description|Concept in functional analysis}} In mathematics, specifically in [[functional analysis]], a [[Family of sets|family]] <math>\mathcal{G}</math> of subsets a [[topo ...

In mathematics, specifically in [[functional analysis]] and [[order theory]], a '''topological vector lattice''' is a [[Hausdorff ...solid if and only if (1) its positive cone is a [[normal cone (functional analysis)|normal cone]], and (2) the vector lattice operations are continuous.{{sfn| ...

...s-covariance matrix|cross-covariance matrices]] of [[canonical correlation analysis]]. By converting <math>\operatorname{cov}(X, X)</math> and <math>\operatorn It has been suggested for use in the analysis of [[functional neuroimaging]] data as such data are often singular.<ref>{{ ...