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A NON-SEPARABLE REFLEXIVE BANACH SPACE ON WHICH THERE ARE FEW OPERATORS

Published online by Cambridge University Press:  30 January 2002

H. M. WARK
Affiliation:
39 The Paddock, Perceton, Irvine, Ayrshire KA11 2AZ; [email protected]
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Abstract

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.

Type
Research Article
Copyright
London Mathematical Society 2001

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