The Eigenspacereport ContentsPart 1: IntroductionChapter 1: DefinitionsSection 1.1: CategoriesChapter 2: IntegralsSection 2.1: Bochner IntegralPart 2: General TopologyChapter 3: Topological StructureSection 3.1: DefinitionsPart 3: Functional AnalysisChapter 4: Locally Convex SpaceSection 4.1: SeminormSection 4.2: Continuous Linear MapsChapter 5: Riemann-Stieltjes IntegralSection 5.1: PartitionSection 5.2: Functions of Bounded VariationSection 5.3: Riemann-Stieltjes Sums and IntegralsSection 5.4: Integrators of Bounded VariationPart 4: Operator AlgebraChapter 6: Fundamentals of Banach Algebras and C*-AlgebrasSection 6.1: Banach AlgebrasSection 6.2: Spectrum and Functional CalculusSection 6.3: Gelfand Representation of Abelian Banach AlgebrasSection 6.4: Spectrum and Functional Calculus in C*-AlgebrasSection 6.5: Continuity of HomomorphismsPart 5: MiscellaneousRecent ChangesTheorem 6.5.2: Odd OddtownTheorem 6.5.1: Oddtown TheoremProposition 6.4.14Proposition 6.4.13Proposition 6.4.12: Spectrum of SubalgebraDefinition 6.4.11: Jordan DecompositionDefinition 6.4.10Definition 6.4.9: Functional CalculusProposition 6.4.8Definition 6.4.7: $C^{*}$-SubalgebraPowered by Spec