Introduction to topology and modern analysis

מידע ביבליוגרפי
מחבר ראשי: Simmons, George F. 1925- (Author)
Resource Type: ספר
שפה:English
יצא לאור: Auckland McGraw-Hill International Book Company [1963]
סדרה:International series in pure and applied mathematics
נושאים:
תוכן הענינים:
  • pt. I. Topology. Sets and functions
  • Metric spaces
  • Topological spaces
  • Compactness
  • Separation
  • Connectedness
  • Approximation
  • pt. II. Operators. Algebraic systems
  • Banach spaces
  • Hilbert spaces
  • Finite-dimensional spectral theory
  • pt. III. Algebras of operators. General preliminaries on Banach algebras
  • The structure of commutative Banach algebras
  • Some special commutative Banach algebras
  • Appendices: 1. Fixed point theorems and some applications to analysis
  • 2. Continuous curves and the Hahn-Mazurkiewicz theorem
  • 3. Boolean algebras, Boolean rings, and Stone's theorem.