Banach spaces with very few operators
Journal article, 2016

If X is a separable infinite dimensional Banach space, the only general operators which are known to exist on X are of the form I+K, where is a scalar and K is a compact operator (obtained as a limit in norm of finite rank operators). We present here a remarkable construction, due to S. Argyros and R. Haydon, of spaces on which every operator can be written as the sum of a scalar operator and a compact operator.


Sophie Grivaux

Maria Roginskaya

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory


0303-1179 (ISSN)

380 355-397

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