Topological Vector Spaces

GPTKB entity

Predicate	Object
gptkbp:instance_of	gptkb:galaxy gptkb:television_channel
gptkbp:defines	gptkb:Banach-Alaoglu_theorem Compactness Connectedness Neighborhoods Reflexivity Linear combinations Baire category theorem Open Sets Homeomorphisms Riesz representation theorem Tensor products Closure of a set Quotient topology Weak convergence Duality theory Separation axioms Hausdorff property Basis of a vector space Dimension of a vector space Infinite-dimensional spaces Linear independence Convergence of sequences Convex hull Interior of a set Subspace topology Strong convergence Strong topology Weak topology Hahn-Banach theorem Banach space properties Basis of the topology Closed graph theorem Continuity of functions Continuous linear functionals Continuous linear maps Convex sets Direct sums Finite-dimensional spaces Hilbert space properties Inner product properties Locally convex topology Norm properties Open mapping theorem Separating hyperplane theorem Span of a set Support function Topological bases Weak* topology
gptkbp:has_property	Topology Vector space structure
https://www.w3.org/2000/01/rdf-schema#label	Topological Vector Spaces
gptkbp:includes	gptkb:Banach_Spaces Hilbert Spaces Normed Spaces
gptkbp:is_characterized_by	Continuity of vector operations
gptkbp:is_related_to	Compact Operators Linear Operators Dual Spaces Locally Convex Spaces
gptkbp:is_used_in	Functional Analysis
gptkbp:bfsParent	gptkb:Ruprecht_D._E._Schaefer
gptkbp:bfsLayer	5