User:Karoshbn/Books/MATHEMATICS XIV - Functional Analysis 2

Functional Analysis 2

 * Set Operations
 * Interior (topology)
 * Minkowski addition
 * Polar set


 * Banack Algebras
 * Banach algebra
 * C*-algebra
 * Spectrum of a C*-algebra
 * Spectral radius
 * Spectral theory


 * Theorems
 * Banach–Alaoglu theorem
 * Weak convergence (Hilbert space)
 * Banach–Mazur theorem
 * Bessel's inequality
 * Cauchy–Schwarz inequality
 * Closed range theorem
 * Closed graph theorem
 * Eberlein–Šmulian theorem
 * Freudenthal spectral theorem
 * Gelfand–Mazur theorem
 * Goldstine theorem
 * Hahn–Banach theorem
 * Hyperplane separation theorem
 * Kakutani fixed-point theorem
 * Invariant subspace problem
 * Dual topology
 * Mazur's lemma
 * M. Riesz extension theorem
 * Open mapping theorem (functional analysis)
 * Parseval's identity
 * Schauder fixed point theorem


 * Analysis
 * Bochner space
 * Differentiation in Fréchet spaces
 * Derivative
 * Fréchet derivative
 * Gâteaux derivative
 * Functional derivative
 * Infinite-dimensional holomorphy
 * Integral
 * Bochner integral
 * Pettis integral
 * Regulated integral
 * Functional calculus
 * Borel functional calculus
 * Continuous functional calculus
 * Holomorphic functional calculus
 * Inverse function theorem
 * Nash–Moser theorem
 * Vector measure