7 Fundamentals of Operator Algebras
- Chapter 38: Banach Algebras
- Chapter 39: $C^{*}$-Algebras
- circle39.1: Involutions
- circle39.2: Subalgebras
- circle39.3: Unitary Elements
- circle39.4: Self-Adjoint Elements
- circle39.5: *-Homomorphisms
- circle39.6: The Gelfand-Naimark Theorem
- circle39.7: The Continuous Functional Calculus
- circle39.8: Order Structures of $C^{*}$-Algebras
- circle39.9: Positive Linear Functionals
- circle39.10: States
- circle39.11: The GNS Construction
- circle39.12: Non-Unital $C^{*}$-Algebras
- circle39.13: Quotients of $C^{*}$-Algebras
- Chapter 40: Examples of Operator Algebras
- circle40.1: The Matrix Algebra
- circle40.2: $B(H)$
- circle40.3: $C_{0}(X)$
- circle40.4: The Hardy Space
- circle40.5: The Disk Algebra
- circle40.6: $\ell^{1}(\integer)$
- circle40.7: $BC(X)$
- Chapter 41: Operator Systems and Completely Positive Maps
- circle41.1: Operator Systems
- circle41.2: On 2×2 Matrices
- circle41.3: Completely Positive and Completely Bounded Maps
- circle41.4: Sufficient Conditions for Complete Positivity
- circle41.5: Multiplicative Domains
- circle41.6: The Numerical Radius
- circle41.7: Schur Products
- circle41.8: Dilations
- circle41.9: Completely Positive Maps into $M_{n}(\complex)$
- circle41.10: Arveson’s Extension Theorem
- circle41.11: Abstract Operator Systems
- circleChapter 42: Notations
Post a Comment