Selected Papers

Photo of Bishop......Page 1
Title......Page 2
Contents......Page 4
Vita*......Page 6
1) Polynomial and Rational Approximation......Page 8
2) The General Theory of Uniform Algebras......Page 10
3) Banach Spaces and Operator Theory......Page 14
4) Several Complex Variables......Page 15
Bibliography......Page 19
Bibliography of the publications of Errett Bishop......Page 22
Reprinted Papers......Page 24
Spectral Theory for Operators on a Banach Space......Page 26
Subalgebras of Functions on a Riemann Surface......Page 58
Measures Orthogonal to Polynomials......Page 80
The Structure of Certain Measures......Page 83
Approximation by a Polynomial and its Derivatives on Certain Closed Sets......Page 90
A Duality Theorem for an Arbitrary Operator......Page 98
A Minimal Boundary for Function Algebras......Page 117
Some Theorems Concerning Function Algebras......Page 131
The Representations of Linear Functional by Measures on Sets of Extreme Points......Page 133
Simultaneous Approximation by a Polynomial and its Derivatives......Page 160
Boundary Measures of Analytic Differentials......Page 163
A Generalization of the Stone-Weierstrass Theorem......Page 173
A Proof that Every Banach Space is Subreflexive......Page 180
Mappings of Partially Analytic Spaces......Page 182
Some Global Problems in the Theory of Functions of Several Complex Variables......Page 216
Partially Analytic Spaces......Page 236
A General Rudin-Carleson Theorem......Page 260
Analytic Functions with Values in a Frechet Space......Page 264
Analyticity in Certain Banach Algebras......Page 280
The Support Functional of a Convex Set......Page 318
Holomorphic Completions, Analytic Continuation, and the Interpolation of Semi-Norms......Page 327
Representing Measures for Points in a Uniform Algebra......Page 360
Conditions for the Analyticity of Certain Sets......Page 362
Uniform Algebras......Page 378
0 Differentiable Manifolds in Complex Euclidean Space......Page 388
Constructive Methods in the Theory of Banach Algebras......Page 409
An Upcrossing Inequality with Applications......Page 412
A Constructive Ergodic Theorem......Page 425
The Constructivization of Abstract Mathematical Analysis......Page 434