Properties (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:physicist
neighborhood |
| gptkbp:field |
Infinite Dimension
Finite Dimension |
| gptkbp:hasExhibition |
gptkb:Frechet_Space
gptkb:Hilbert_Space Banach Space Locally convex space Strong topology Weak topology Normed_Space |
| gptkbp:hasSpecialty |
Can be finite-dimensional or infinite-dimensional
Contains a zero vector Scalar multiplication is continuous Closed_under_linear_combinations Vector_addition_is_continuous |
| https://www.w3.org/2000/01/rdf-schema#label |
Topological Vector Space
|
| gptkbp:isCharacterizedBy |
Compactness
Connectedness Closed sets Open sets Quotient topology Weak convergence Separation axioms Continuity of operations Local convexity Subspace topology Basis of neighborhoods Basis of the space Closure under limits Sequential continuity Strong convergence Linear_operators Banach-Alaoglu_theorem Hahn-Banach_theorem Baire_category_theorem Hausdorff_property Continuous_linear_functionals Topological_dual_space |
| gptkbp:isRelatedTo |
Topology
Algebraic Structure Linear_Algebra Metric_Space |
| gptkbp:isUsedFor |
Topology
Norm Inner_Product |
| gptkbp:isUsedIn |
gptkb:Quantum_Mechanics
Signal Processing Differential Equations Functional Analysis |