User:Karoshbn/Books/MATHEMATICS XIV - Functional Analysis 1

Functional Analysis 1

 * Functional analysis


 * Set / subset types
 * Absolutely convex set
 * Absorbing set
 * Balanced set
 * Bounded set (topological vector space)
 * Convex set
 * Radial set
 * Star domain
 * Symmetric set
 * Cone (linear algebra)
 * Convex cone


 * TVS types
 * Topological vector space
 * Banach space
 * Barrelled space
 * Bornological space
 * Brauner space
 * F-space
 * Euclidean space
 * Fréchet space
 * Hilbert space
 * LF-space
 * Locally convex topological vector space
 * Mackey space
 * Montel space
 * Nuclear space
 * Normed vector space
 * Norm (mathematics)
 * Quasinorm
 * Reflexive space
 * Riesz space
 * Smith space
 * Stereotype space
 * Webbed space
 * Topological tensor product
 * Tensor product of Hilbert spaces


 * Mapping Toplogies
 * Dual topology
 * Dual space
 * Operator topologies
 * Strong topology
 * Strong topology (polar topology)
 * Strong operator topology
 * Ultrastrong topology
 * Weak topology
 * Weak operator topology
 * Ultraweak topology
 * Topology of uniform convergence


 * Linear Operators
 * Linear map
 * Hermitian adjoint
 * Bilinear map
 * Bilinear form
 * Bounded operator
 * Unbounded operator
 * Continuous linear operator
 * Discontinuous linear map
 * Compact operator
 * Fredholm operator
 * Hilbert–Schmidt operator
 * Linear form
 * Positive linear functional
 * Normal operator
 * Nuclear operator
 * Self-adjoint operator
 * Strictly singular operator
 * Trace class
 * Transpose of a linear map
 * Unitary operator