TY  - BOOK
AU  - Reay,John R.
TI  - Generalizations of a Theorem of Caratheodory
T2  - Memoirs of the American Mathematical Society
SN  - 9780821899991
AV  - QC20.7.M43.R43 1965 
PY  - 1965///
CY  - Providence
PB  - American Mathematical Society
KW  - Caratheodory measure
KW  - Electronic books
N1  - Intro -- CONTENTS -- 0. INTRODUCTION -- 1. STANDARD GENERALIZATIONS OF CARATHÉODORY'S THEOREM -- 2. POSITIVE BASES OF LINEAR SPACES -- 2.1 Notation and Fundamental Results -- 2.2 The Partitioning of Positive Bases -- 2.3 Application to Carathéodory Type Theorems -- 3. CARATHÉODORY'S THEOREM WITH CONNECTEDNESS CONDITIONS -- 3.1 The Hnnner-Radström Theorem Extended to Interior Points -- 3.2 Apparently Connected Sets -- 4. CARATHÉODORY!S THEOREM WITH AT LEAST TWO POINTS IN con X -- 4.1 An Extension of Bonnice-Klee's Theorem -- 4.2 An Extension with Distinct Constraints -- 5. CARATHÉODORY'S THEOREM WITH SYMMETRY CONDITIONS -- 5.1 Introduction -- 5.2 A Generalization of Fenchel's and Bonnice-Klee's Theorems -- 5.3 Symmetry Theorems With At Least 2 Points In con X -- BIBLIOGRAPHY
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113604
ER  -