Schauder basis and Eigenbases There are several question in this site comparing different basis functions including Schauder basis and others, but I could not connect the difference between the Schauder basis and Eigenbasis clearly. Would someone please point the best way to contrast between the two?
An eigenbasis is a basis consisting entirely of eigenvectors (vectors associated with a linear system of equations). 

A Schauder basis is like a basis except they allow for infinite sums.
An eigenbasis is a basis consisting entirely of eigenvectors (vectors associated with a linear system of equations). 

A Schauder basis is like a basis except they allow for infinite sums.