Subspaces of positive definite inner product spaces of countable dimension
Subspaces of positive definite inner product spaces of countable dimension
We deal with the following problem, proposed by I. Kaplansky in 1950: If V, V are subspaces of an inner product space (E, φ) of countable dimension over any field k, when does there exist a metric automorphism of (E, φ) mapping V onto Vt The present paper treats the …