Journal of the London Mathematical Society · 2001 · 22 citations · 0 references
Natural SciencesProperty LawAxonometric ProjectionReinsuranceRepresentation TheoryLinear AlgebraOperator TheoryBounded Linear OperatorsBounded OperatorsOperator SpacesOperatorsSeparable Spaces
It is shown that there exists a non-separable reflexive Banach space on which every bounded linear operator is the sum of a scalar multiple of the identity operator and an operator of separable range. There is a strong sense that such a Banach space has as few operators as its linear and topological properties allow.