sentences:  A "Schauder basis" is a sequence ("b""n") of elements of "V" such that for every element "v" ∈ "V" there exists a "unique" sequence (α"n") of elements in "F" so that
  where the convergence is understood with respect to the norm topology.Schauder bases can also be defined analogously in a general topological vector space.Banach and other Polish mathematicians would work on mathematical problems at the Scottish Café.