Answer by Abhishek Gupta for Examples of conjectures that were widely believed to be true but later proved false

2012-09-04T22:02:57Z

In introductory functional analysis one learns that every normed linear space with a Schauder basis is separable. The converse of this was a famous question raised by Banach- does every separable Banach space have a Schauder basis? Since almost all known separable Banach spaces had been shown to possess a Schauder basis it was believed that this must be true. But in 1972 Enflo constructed a counterexample to this.

For this achievement of his Enflo was awarded a live goose by Stanislaw Mazur.

See this.

Answer by Abhishek Gupta for Examples of conjectures that were widely believed to be true but later proved false

2012-07-03T07:06:15Z

Polya conjecture was proved to be false in 1958.

User abhishek gupta - MathOverflow

Answer by Abhishek Gupta for Examples of conjectures that were widely believed to be true but later proved false

Answer by Abhishek Gupta for Examples of conjectures that were widely believed to be true but later proved false