M-ideals and the Bishop-Phelps theorem

V. Indumathi

M-ideals and the Bishop-Phelps theorem

2012

V. Indumathi

We give new proofs for the known important approximative properties of M-ideals, using only the definition of an M-ideal and the Bishop-Phelps theorem. Unlike the known proofs, these proofs do not use the 3-ball intersection property of M-ideals. Mathematics subject classification (2010): 46B20,41A50,41A65.

Keywords:

Mathematics Subject Classification
Bruck–Ryser–Chowla theorem
Bishop–Phelps theorem
Pure mathematics
Danskin's theorem
Fundamental theorem
Mathematics
Carlson's theorem
Factor theorem
Compactness theorem
Topology
Squeeze theorem
Discrete mathematics
Mathematical analysis
Brouwer fixed-point theorem

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