Real Function Algebras - S.H. Kulkarni

This Self-contained Referencetext Presents A Thorough Account Of The Theory Of Real Function Algebras. Employing The Intrinsic Approach, Avoiding The Complexification Technique, And Generalizing The Theory Of Complex Function Algebras, This Single-source Volume Includes: An Introduction To Real Banach Algebras; Various Generalizations Of The Stone-weierstrass Theorem; Gleason Parts; Choquet And Shilov Boundaries; Isometries Of Real Function Algebras; Extensive References; And A Detailed Bibliography.;real Function Algebras Offers Results Of Independent Interest Such As: Topological Conditions For The Commutativity Of A Real Or Complex Banach Algebra; Ransfords Short Elementary Proof Of The Bishop-stone-weierstrass Theorem; The Implication Of The Analyticity Or Antianalyticity Of F From The Harmonicity Of Re F, Re F(2), Re F(3), And Re F(4); And The Positivity Of The Real Part Of A Linear Functional On A Subspace Of C(x).;with Over 600 Display Equations, This Reference Is For Mathematical Analysts; Pure, Applied, And Industrial Mathematicians; And Theoretical Physicists; And A Text For Courses In Banach Algebras And Function Algebras.