The Eigenspace

Part 1: Introduction
- Chapter 1: Definitions
  - circle1.1: Grothendieck Universe
  - circle1.2: Categories
- Chapter 2: Integrals
  - circle2.1: Bochner Integral
Part 2: General Topology
- Chapter 3: Topological Structure
  - circle3.1: Generating Topologies
  - circle3.2: Connectedness
  - circle3.3: Neighbourhoods
  - circle3.4: Filters
  - circle3.5: Continuity
  - circle3.6: Hausdorff
  - circle3.7: Locally Compact Groups
  - circle3.8: Normal Spaces
  - circle3.9: Quotient Topologies
  - circle3.10: Compactness
  - circle3.11: $\s$-Compact Spaces
  - circle3.12: Paracompact Spaces
  - 3.13: Locally Compact Hausdorff Spaces
    circle3.13.6: Paracompactness and LCH Spaces
Part 3: Functional Analysis
- Chapter 4: Locally Convex Space
  - circle4.1: Seminorm
  - circle4.2: Continuous Linear Maps
  - circle4.3: Compact Convex Sets
  - circle4.4: Hahn-Banach Theorem
- Chapter 5: Riemann-Stieltjes Integral
  - circle5.1: Partition
  - circle5.2: Functions of Bounded Variation
  - circle5.3: Riemann-Stieltjes Sums and Integrals
  - circle5.4: Integrators of Bounded Variation
- Chapter 6: Measure
  - circle6.1: Haar Measure
Part 4: Operator Algebra
- Chapter 7: Fundamentals of Banach Algebras and C*-Algebras
  - circle7.1: Banach Algebras
  - circle7.2: Abstract Index
  - circle7.3: Spectrum and Functional Calculus
  - circle7.4: Gelfand Representation of Abelian Banach Algebras
  - circle7.5: Spectrum and Functional Calculus in C*-Algebras
  - circle7.6: Continuity of Homomorphisms
circlePart 5: Miscellaneous

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Recent Changes

circleDefinition 6.1.1: Haar Measure
circleProposition 4.4.2: Polarisation
circleTheorem 4.3.4: Krein-Milman
circleLemma 4.3.3
circleCorollary 3.13.12
circleCorollary 3.13.11
circleTheorem 3.13.10
circleLemma 3.13.9
circleProposition 3.13.8
circleProposition 3.13.7: [Proposition 4.39, Fol99]

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